45722880000 has 1260 divisors, whose sum is σ = 199250746695. Its totient is φ = 10450944000.

The previous prime is 45722879989. The next prime is 45722880017. The reversal of 45722880000 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.

45722880000 is a `hidden beast` number, since 4 + 572 + 2 + 8 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10571129856 + 35151750144 = 102816^2 + 187488^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=151200.

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

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 104 ways as a sum of consecutive naturals, for example, 6531839997 + ... + 6531840003.

Almost surely, 2^45722880000 is an apocalyptic number.

45722880000 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 45722880000

45722880000 is an abundant number, since it is smaller than the sum of its proper divisors (153527866695).

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

45722880000 is an frugal number, since it uses more digits than its factorization.

45722880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

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

The spelling of 45722880000 in words is "forty-five billion, seven hundred twenty-two million, eight hundred eighty thousand".