45852811920 has 60 divisors (see below), whose sum is σ = 153989029116. Its totient is φ = 12227416320.

The previous prime is 45852811889. The next prime is 45852811931. The reversal of 45852811920 is 2911825854.

45852811920 is a `hidden beast` number, since 4 + 5 + 8 + 528 + 119 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9644811264 + 36208000656 = 98208^2 + 190284^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31841511 + ... + 31842950.

Almost surely, 2^45852811920 is an apocalyptic number.

45852811920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45852811920 is an abundant number, since it is smaller than the sum of its proper divisors (108136217196).

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

45852811920 is a wasteful number, since it uses less digits than its factorization.

45852811920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63684480 (or 63684471 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 45852811920 in words is "forty-five billion, eight hundred fifty-two million, eight hundred eleven thousand, nine hundred twenty".