18680582986816 has 63 divisors (see below), whose sum is σ = 37712342226549. Its totient is φ = 9180978739968.

The previous prime is 18680582986771. The next prime is 18680582986829. The reversal of 18680582986816 is 61868928508681.

The square root of 18680582986816 is 4322104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2463016360000 + 16217566626816 = 1569400^2 + 4027104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2040028510 + ... + 2040037666.

Almost surely, 2^{18680582986816} is an apocalyptic number.

18680582986816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18680582986816 is the 4322104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18680582986816

18680582986816 is an abundant number, since it is smaller than the sum of its proper divisors (19031759239733).

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

18680582986816 is an frugal number, since it uses more digits than its factorization.

18680582986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18444 (or 9218 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 76.

The spelling of 18680582986816 in words is "eighteen trillion, six hundred eighty billion, five hundred eighty-two million, nine hundred eighty-six thousand, eight hundred sixteen".