45639777664 has 96 divisors (see below), whose sum is σ = 98678555640. Its totient is φ = 21016719360.

The previous prime is 45639777647. The next prime is 45639777679. The reversal of 45639777664 is 46677793654.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 45639777596 and 45639777605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10619164 + ... + 10623460.

Almost surely, 2^45639777664 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 45639777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49339277820).

45639777664 is an abundant number, since it is smaller than the sum of its proper divisors (53038777976).

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

45639777664 is a wasteful number, since it uses less digits than its factorization.

45639777664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4803 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 64.

It can be divided in two parts, 456397 and 77664, that added together give a triangular number (534061 = T₁₀₃₃).

The spelling of 45639777664 in words is "forty-five billion, six hundred thirty-nine million, seven hundred seventy-seven thousand, six hundred sixty-four".