18561464768 has 112 divisors (see below), whose sum is σ = 47403276288. Its totient is φ = 6998400000.

The previous prime is 18561464759. The next prime is 18561464777. The reversal of 18561464768 is 86746416581.

It is an interprime number because it is at equal distance from previous prime (18561464759) and next prime (18561464777).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 92018 + ... + 213518.

Almost surely, 2^18561464768 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 18561464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23701638144).

18561464768 is an abundant number, since it is smaller than the sum of its proper divisors (28841811520).

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

18561464768 is a wasteful number, since it uses less digits than its factorization.

18561464768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121562 (or 121552 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 56.

The spelling of 18561464768 in words is "eighteen billion, five hundred sixty-one million, four hundred sixty-four thousand, seven hundred sixty-eight".