45607900800 has 1152 divisors, whose sum is σ = 193787596800. Its totient is φ = 9225216000.

The previous prime is 45607900799. The next prime is 45607900859. The reversal of 45607900800 is 800970654.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 577315161 + ... + 577315239.

It is an arithmetic number, because the mean of its divisors is an integer number (168218400).

Almost surely, 2^45607900800 is an apocalyptic number.

45607900800 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 45607900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96893798400).

45607900800 is an abundant number, since it is smaller than the sum of its proper divisors (148179696000).

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

45607900800 is a wasteful number, since it uses less digits than its factorization.

45607900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 45607900800 in words is "forty-five billion, six hundred seven million, nine hundred thousand, eight hundred".