45976292409600 has 3456 divisors, whose sum is σ = 218162596700160. Its totient is φ = 9226027008000.

The previous prime is 45976292409599. The next prime is 45976292409679. The reversal of 45976292409600 is 690429267954.

45976292409600 is a `hidden beast` number, since 459 + 7 + 6 + 2 + 92 + 4 + 0 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×45976292409600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19391096415 + ... + 19391098785.

It is an arithmetic number, because the mean of its divisors is an integer number (63125751360).

Almost surely, 2^{45976292409600} is an apocalyptic number.

45976292409600 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 45976292409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109081298350080).

45976292409600 is an abundant number, since it is smaller than the sum of its proper divisors (172186304290560).

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

45976292409600 is a wasteful number, since it uses less digits than its factorization.

45976292409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 45976292409600 in words is "forty-five trillion, nine hundred seventy-six billion, two hundred ninety-two million, four hundred nine thousand, six hundred".