45376111872 has 720 divisors, whose sum is σ = 168694753920. Its totient is φ = 11812552704.

The previous prime is 45376111861. The next prime is 45376111889. The reversal of 45376111872 is 27811167354.

45376111872 is a `hidden beast` number, since 453 + 7 + 6 + 11 + 187 + 2 = 666.

Its product of digits (282240) is a multiple of the sum of its prime factors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 262289578 + ... + 262289750.

Almost surely, 2^45376111872 is an apocalyptic number.

45376111872 is a gapful number since it is divisible by the number (42) 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 45376111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84347376960).

45376111872 is an abundant number, since it is smaller than the sum of its proper divisors (123318642048).

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

45376111872 is a wasteful number, since it uses less digits than its factorization.

45376111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 337 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 45376111872 in words is "forty-five billion, three hundred seventy-six million, one hundred eleven thousand, eight hundred seventy-two".