18452952864 has 216 divisors, whose sum is σ = 55162274076. Its totient is φ = 5849625600.

The previous prime is 18452952857. The next prime is 18452952887. The reversal of 18452952864 is 46825925481.

18452952864 is a `hidden beast` number, since 1 + 8 + 4 + 52 + 9 + 528 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18436208400 + 16744464 = 135780^2 + 4092^2 .

It is a super-2 number, since 2×18452952864² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18452952864.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16882302 + ... + 16883394.

Almost surely, 2^18452952864 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 18452952864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27581137038).

18452952864 is an abundant number, since it is smaller than the sum of its proper divisors (36709321212).

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

18452952864 is a wasteful number, since it uses less digits than its factorization.

18452952864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1190 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 18452952864 in words is "eighteen billion, four hundred fifty-two million, nine hundred fifty-two thousand, eight hundred sixty-four".