45131568000 has 128 divisors (see below), whose sum is σ = 149611307040. Its totient is φ = 12035072000.

The previous prime is 45131567963. The next prime is 45131568037. The reversal of 45131568000 is 86513154.

It is an interprime number because it is at equal distance from previous prime (45131567963) and next prime (45131568037).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422121 + ... + 518120.

Almost surely, 2^45131568000 is an apocalyptic number.

45131568000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45131568000 is an abundant number, since it is smaller than the sum of its proper divisors (104479739040).

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

45131568000 is an equidigital number, since it uses as much as digits as its factorization.

45131568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940273 (or 940251 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 45131568000 in words is "forty-five billion, one hundred thirty-one million, five hundred sixty-eight thousand".