45648776736 has 72 divisors (see below), whose sum is σ = 129905472060. Its totient is φ = 15205502976.

The previous prime is 45648776731. The next prime is 45648776773. The reversal of 45648776736 is 63767784654.

45648776736 is a `hidden beast` number, since 4 + 56 + 487 + 76 + 7 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38517987600 + 7130789136 = 196260^2 + 84444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (45648776731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357400 + ... + 468008.

Almost surely, 2^45648776736 is an apocalyptic number.

It is an amenable number.

45648776736 is an abundant number, since it is smaller than the sum of its proper divisors (84256695324).

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

45648776736 is a wasteful number, since it uses less digits than its factorization.

45648776736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112058 (or 112047 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 63.

The spelling of 45648776736 in words is "forty-five billion, six hundred forty-eight million, seven hundred seventy-six thousand, seven hundred thirty-six".