45553457664 has 480 divisors, whose sum is σ = 156735843264. Its totient is φ = 12554403840.

The previous prime is 45553457617. The next prime is 45553457681. The reversal of 45553457664 is 46675435554.

45553457664 is a `hidden beast` number, since 4 + 5 + 5 + 5 + 3 + 4 + 576 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45553457664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48102439 + ... + 48103385.

Almost surely, 2^45553457664 is an apocalyptic number.

45553457664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45553457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78367921632).

45553457664 is an abundant number, since it is smaller than the sum of its proper divisors (111182385600).

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

45553457664 is a wasteful number, since it uses less digits than its factorization.

45553457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1049 counting only the distinct ones).

The product of its digits is 30240000, while the sum is 54.

The spelling of 45553457664 in words is "forty-five billion, five hundred fifty-three million, four hundred fifty-seven thousand, six hundred sixty-four".