18965014653456 has 135 divisors (see below), whose sum is σ = 55118374363533. Its totient is φ = 6321201223680.

The previous prime is 18965014653371. The next prime is 18965014653469. The reversal of 18965014653456 is 65435641056981.

The square root of 18965014653456 is 4354884.

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

18965014653456 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 5 + 0 + 1 + 46 + 534 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2614960663056 + 16350053990400 = 1617084^2 + 4043520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18965014653393 and 18965014653402.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1410975696 + ... + 1410989136.

Almost surely, 2^{18965014653456} is an apocalyptic number.

18965014653456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18965014653456 is the 4354884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18965014653456

18965014653456 is an abundant number, since it is smaller than the sum of its proper divisors (36153359710077).

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

18965014653456 is an frugal number, since it uses more digits than its factorization.

18965014653456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26914 (or 13446 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 18965014653456 in words is "eighteen trillion, nine hundred sixty-five billion, fourteen million, six hundred fifty-three thousand, four hundred fifty-six".