45616564000 has 96 divisors (see below), whose sum is σ = 128091390336. Its totient is φ = 15639955200.

The previous prime is 45616563997. The next prime is 45616564003. The reversal of 45616564000 is 46561654.

45616564000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45616563997) and next prime (45616564003).

It is a super-2 number, since 2×45616564000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45616564003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786582 + ... + 842581.

It is an arithmetic number, because the mean of its divisors is an integer number (1334285316).

Almost surely, 2^45616564000 is an apocalyptic number.

45616564000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45616564000 is an abundant number, since it is smaller than the sum of its proper divisors (82474826336).

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

45616564000 is a wasteful number, since it uses less digits than its factorization.

45616564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629195 (or 1629177 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 45616564000 in words is "forty-five billion, six hundred sixteen million, five hundred sixty-four thousand".