18864216576 has 160 divisors (see below), whose sum is σ = 58779124800. Its totient is φ = 5957038080.

The previous prime is 18864216559. The next prime is 18864216589. The reversal of 18864216576 is 67561246881.

18864216576 is a `hidden beast` number, since 1 + 8 + 8 + 64 + 2 + 1 + 6 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226746 + ... + 298566.

It is an arithmetic number, because the mean of its divisors is an integer number (367369530).

Almost surely, 2^18864216576 is an apocalyptic number.

18864216576 is a gapful number since it is divisible by the number (16) 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 18864216576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29389562400).

18864216576 is an abundant number, since it is smaller than the sum of its proper divisors (39914908224).

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

18864216576 is an equidigital number, since it uses as much as digits as its factorization.

18864216576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71867 (or 71845 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 18864216576 in words is "eighteen billion, eight hundred sixty-four million, two hundred sixteen thousand, five hundred seventy-six".