45111627986976 has 36 divisors (see below), whose sum is σ = 128286192088782. Its totient is φ = 15037209328896.

The previous prime is 45111627986963. The next prime is 45111627987073. The reversal of 45111627986976 is 67968972611154.

45111627986976 is a `hidden beast` number, since 4 + 511 + 1 + 6 + 27 + 9 + 86 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38693127344400 + 6418500642576 = 6220380^2 + 2533476^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 78318798301 + ... + 78318798876.

Almost surely, 2^{45111627986976} is an apocalyptic number.

It is an amenable number.

45111627986976 is an abundant number, since it is smaller than the sum of its proper divisors (83174564101806).

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

45111627986976 is a wasteful number, since it uses less digits than its factorization.

45111627986976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156637597193 (or 156637597182 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 45111627986976 in words is "forty-five trillion, one hundred eleven billion, six hundred twenty-seven million, nine hundred eighty-six thousand, nine hundred seventy-six".