18930564864 has 144 divisors (see below), whose sum is σ = 56611850400. Its totient is φ = 6239084544.

The previous prime is 18930564859. The next prime is 18930564883. The reversal of 18930564864 is 46846503981.

18930564864 is a `hidden beast` number, since 1 + 89 + 30 + 56 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×18930564864² (a number of 21 digits) contains 22 as substring.

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 18930564864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599782 + ... + 630554.

It is an arithmetic number, because the mean of its divisors is an integer number (393137850).

Almost surely, 2^18930564864 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 18930564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28305925200).

18930564864 is an abundant number, since it is smaller than the sum of its proper divisors (37681285536).

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

18930564864 is an equidigital number, since it uses as much as digits as its factorization.

18930564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30887 (or 30867 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 18930564864 in words is "eighteen billion, nine hundred thirty million, five hundred sixty-four thousand, eight hundred sixty-four".