45422884416000 has 1920 divisors, whose sum is σ = 192950379528192. Its totient is φ = 9273139200000.

The previous prime is 45422884415999. The next prime is 45422884416011. The reversal of 45422884416000 is 61448822454.

It is a happy number.

45422884416000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×45422884416000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7041212775 + ... + 7041219225.

Almost surely, 2^{45422884416000} is an apocalyptic number.

45422884416000 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 45422884416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96475189764096).

45422884416000 is an abundant number, since it is smaller than the sum of its proper divisors (147527495112192).

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

45422884416000 is a wasteful number, since it uses less digits than its factorization.

45422884416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 45422884416000 in words is "forty-five trillion, four hundred twenty-two billion, eight hundred eighty-four million, four hundred sixteen thousand".