45679375872 has 400 divisors, whose sum is σ = 147925636320. Its totient is φ = 13950517248.

The previous prime is 45679375849. The next prime is 45679375909. The reversal of 45679375872 is 27857397654.

45679375872 is a `hidden beast` number, since 45 + 6 + 7 + 9 + 3 + 7 + 587 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (88905600) is a multiple of the sum of its prime factors (675).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104053029 + ... + 104053467.

Almost surely, 2^45679375872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45679375872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73962818160).

45679375872 is an abundant number, since it is smaller than the sum of its proper divisors (102246260448).

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

45679375872 is a wasteful number, since it uses less digits than its factorization.

45679375872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 650 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 63.

The spelling of 45679375872 in words is "forty-five billion, six hundred seventy-nine million, three hundred seventy-five thousand, eight hundred seventy-two".