45859028118400 has 192 divisors, whose sum is σ = 130401310032000. Its totient is φ = 15609978501120.

The previous prime is 45859028118347. The next prime is 45859028118413. The reversal of 45859028118400 is 481182095854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4250710 + ... + 10477909.

It is an arithmetic number, because the mean of its divisors is an integer number (679173489750).

Almost surely, 2^{45859028118400} is an apocalyptic number.

45859028118400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45859028118400 is an abundant number, since it is smaller than the sum of its proper divisors (84542281913600).

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

45859028118400 is a wasteful number, since it uses less digits than its factorization.

45859028118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14728789 (or 14728772 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 55.

The spelling of 45859028118400 in words is "forty-five trillion, eight hundred fifty-nine billion, twenty-eight million, one hundred eighteen thousand, four hundred".