45979443600 has 240 divisors, whose sum is σ = 149952902400. Its totient is φ = 12041116160.

The previous prime is 45979443583. The next prime is 45979443613. The reversal of 45979443600 is 634497954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×45979443600² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17827111 + ... + 17829689.

It is an arithmetic number, because the mean of its divisors is an integer number (624803760).

Almost surely, 2^45979443600 is an apocalyptic number.

45979443600 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 45979443600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74976451200).

45979443600 is an abundant number, since it is smaller than the sum of its proper divisors (103973458800).

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

45979443600 is a wasteful number, since it uses less digits than its factorization.

45979443600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 45979443600 in words is "forty-five billion, nine hundred seventy-nine million, four hundred forty-three thousand, six hundred".