45616992960 has 672 divisors, whose sum is σ = 191837901312. Its totient is φ = 9064366080.

The previous prime is 45616992929. The next prime is 45616992997. The reversal of 45616992960 is 6929961654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 45616992960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11899204 + ... + 11903036.

Almost surely, 2^45616992960 is an apocalyptic number.

45616992960 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 45616992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95918950656).

45616992960 is an abundant number, since it is smaller than the sum of its proper divisors (146220908352).

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

45616992960 is a wasteful number, since it uses less digits than its factorization.

45616992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 45616992960 in words is "forty-five billion, six hundred sixteen million, nine hundred ninety-two thousand, nine hundred sixty".