45118872000 has 672 divisors, whose sum is σ = 168132556800. Its totient is φ = 11541657600.

The previous prime is 45118871921. The next prime is 45118872011. The reversal of 45118872000 is 27881154.

45118872000 is a `hidden beast` number, since 451 + 188 + 7 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×45118872000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226727901 + ... + 226728099.

Almost surely, 2^45118872000 is an apocalyptic number.

45118872000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45118872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84066278400).

45118872000 is an abundant number, since it is smaller than the sum of its proper divisors (123013684800).

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

45118872000 is a wasteful number, since it uses less digits than its factorization.

45118872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 45118872000 in words is "forty-five billion, one hundred eighteen million, eight hundred seventy-two thousand".