45608681664 has 1008 divisors, whose sum is σ = 174879414528. Its totient is φ = 11528884224.

The previous prime is 45608681609. The next prime is 45608681719. The reversal of 45608681664 is 46618680654.

45608681664 is a `hidden beast` number, since 4 + 560 + 8 + 6 + 8 + 16 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (45608681609) and next prime (45608681719).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45608681664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 680726559 + ... + 680726625.

Almost surely, 2^45608681664 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 45608681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87439707264).

45608681664 is an abundant number, since it is smaller than the sum of its proper divisors (129270732864).

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

45608681664 is a wasteful number, since it uses less digits than its factorization.

45608681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 45608681664 in words is "forty-five billion, six hundred eight million, six hundred eighty-one thousand, six hundred sixty-four".