45117513684 has 36 divisors (see below), whose sum is σ = 115328484180. Its totient is φ = 14870190720.

The previous prime is 45117513607. The next prime is 45117513689. The reversal of 45117513684 is 48631571154.

45117513684 is a `hidden beast` number, since 4 + 51 + 1 + 7 + 513 + 6 + 84 = 666.

45117513684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7069110084 + 38048403600 = 84078^2 + 195060^2 .

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45117513689) 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, 7037607 + ... + 7044014.

It is an arithmetic number, because the mean of its divisors is an integer number (3203569005).

Almost surely, 2^45117513684 is an apocalyptic number.

It is an amenable number.

45117513684 is an abundant number, since it is smaller than the sum of its proper divisors (70210970496).

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

45117513684 is a wasteful number, since it uses less digits than its factorization.

45117513684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14081720 (or 14081715 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 45117513684 in words is "forty-five billion, one hundred seventeen million, five hundred thirteen thousand, six hundred eighty-four".