45740655600 has 120 divisors (see below), whose sum is σ = 155141610480. Its totient is φ = 11480002560.

The previous prime is 45740655563. The next prime is 45740655601. The reversal of 45740655600 is 655604754.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×45740655600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45740655601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1100695 + ... + 1141494.

It is an arithmetic number, because the mean of its divisors is an integer number (1292846754).

Almost surely, 2^45740655600 is an apocalyptic number.

45740655600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45740655600 is an abundant number, since it is smaller than the sum of its proper divisors (109400954880).

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

45740655600 is a wasteful number, since it uses less digits than its factorization.

45740655600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242227 (or 2242216 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 45740655600 in words is "forty-five billion, seven hundred forty million, six hundred fifty-five thousand, six hundred".