45612893664 has 240 divisors, whose sum is σ = 152965069488. Its totient is φ = 13208997888.

The previous prime is 45612893663. The next prime is 45612893699. The reversal of 45612893664 is 46639821654.

45612893664 is a `hidden beast` number, since 456 + 128 + 9 + 3 + 6 + 64 = 666.

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 45612893664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45612893663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 533019 + ... + 612645.

Almost surely, 2^45612893664 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 45612893664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76482534744).

45612893664 is an abundant number, since it is smaller than the sum of its proper divisors (107352175824).

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

45612893664 is a wasteful number, since it uses less digits than its factorization.

45612893664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79679 (or 79662 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 45612893664 in words is "forty-five billion, six hundred twelve million, eight hundred ninety-three thousand, six hundred sixty-four".