18706824864 has 360 divisors, whose sum is σ = 66866065812. Its totient is φ = 4931297280.

The previous prime is 18706824863. The next prime is 18706824887. The reversal of 18706824864 is 46842860781.

18706824864 is a `hidden beast` number, since 1 + 87 + 0 + 6 + 82 + 486 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17503290000 + 1203534864 = 132300^2 + 34692^2 .

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 18706824864.

It is not an unprimeable number, because it can be changed into a prime (18706824863) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8988304 + ... + 8990384.

Almost surely, 2^18706824864 is an apocalyptic number.

18706824864 is a gapful number since it is divisible by the number (14) 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 18706824864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33433032906).

18706824864 is an abundant number, since it is smaller than the sum of its proper divisors (48159240948).

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

18706824864 is a wasteful number, since it uses less digits than its factorization.

18706824864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 18706824864 in words is "eighteen billion, seven hundred six million, eight hundred twenty-four thousand, eight hundred sixty-four".