45722880000000 has 2520 divisors, whose sum is σ = 199356605563752. Its totient is φ = 10450944000000.

The previous prime is 45722879999963. The next prime is 45722880000047. The reversal of 45722880000000 is 8822754.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45722880000000 is a `hidden beast` number, since 4 + 572 + 2 + 8 + 80 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45230682341376 + 492197658624 = 6725376^2 + 701568^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45722880000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6531839999997 + ... + 6531840000003.

Almost surely, 2^{45722880000000} is an apocalyptic number.

45722880000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45722880000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99678302781876).

45722880000000 is an abundant number, since it is smaller than the sum of its proper divisors (153633725563752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45722880000000 is an frugal number, since it uses more digits than its factorization.

45722880000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 45722880000000 its reverse (8822754), we get a palindrome (45722888822754).

The spelling of 45722880000000 in words is "forty-five trillion, seven hundred twenty-two billion, eight hundred eighty million", and thus it is an aban number.