45876041600 has 48 divisors (see below), whose sum is σ = 113328166920. Its totient is φ = 18350415360.

The previous prime is 45876041591. The next prime is 45876041639. The reversal of 45876041600 is 614067854.

45876041600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45876041600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7164932 + ... + 7171331.

Almost surely, 2^45876041600 is an apocalyptic number.

45876041600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45876041600 is an abundant number, since it is smaller than the sum of its proper divisors (67452125320).

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

45876041600 is a wasteful number, since it uses less digits than its factorization.

45876041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14336287 (or 14336270 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 45876041600 in words is "forty-five billion, eight hundred seventy-six million, forty-one thousand, six hundred".