12390361344 has 135 divisors (see below), whose sum is σ = 36993672793. Its totient is φ = 4124777472.

The previous prime is 12390361337. The next prime is 12390361409. The reversal of 12390361344 is 44316309321.

The square root of 12390361344 is 111312.

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

12390361344 is a `hidden beast` number, since 1 + 2 + 39 + 0 + 3 + 613 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 788486400 + 11601874944 = 28080^2 + 107712^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12390361299 and 12390361308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16028542 + ... + 16029314.

Almost surely, 2^12390361344 is an apocalyptic number.

12390361344 is the 111312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12390361344

12390361344 is an abundant number, since it is smaller than the sum of its proper divisors (24603311449).

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

12390361344 is an frugal number, since it uses more digits than its factorization.

12390361344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 12390361344 by its sum of digits (36), we get a square (446053008384 = 667872²).

12390361344 divided by its sum of digits (36) gives a square (344176704 = 18552²).

Multiplying 12390361344 by its product of nonzero digits (46656), we get a square (578084698865664 = 24043392²).

The spelling of 12390361344 in words is "twelve billion, three hundred ninety million, three hundred sixty-one thousand, three hundred forty-four".