45207713664 has 288 divisors, whose sum is σ = 140437402560. Its totient is φ = 13943255040.

The previous prime is 45207713657. The next prime is 45207713701. The reversal of 45207713664 is 46631770254.

45207713664 is a `hidden beast` number, since 452 + 0 + 7 + 7 + 136 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18890452 + ... + 18892844.

It is an arithmetic number, because the mean of its divisors is an integer number (487629870).

Almost surely, 2^45207713664 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 45207713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70218701280).

45207713664 is an abundant number, since it is smaller than the sum of its proper divisors (95229688896).

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

45207713664 is a wasteful number, since it uses less digits than its factorization.

45207713664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 45207713664 in words is "forty-five billion, two hundred seven million, seven hundred thirteen thousand, six hundred sixty-four".