15779379456 has 81 divisors (see below), whose sum is σ = 45513232401. Its totient is φ = 5257783296.

The previous prime is 15779379449. The next prime is 15779379461. The reversal of 15779379456 is 65497397751.

The square root of 15779379456 is 125616.

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

15779379456 is a `hidden beast` number, since 1 + 577 + 9 + 3 + 7 + 9 + 4 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15395846400 + 383533056 = 124080^2 + 19584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 15779379393 and 15779379402.

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 8 ways as a sum of consecutive naturals, for example, 6028260 + ... + 6030876.

Almost surely, 2^15779379456 is an apocalyptic number.

15779379456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15779379456 is the 125616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15779379456

15779379456 is an abundant number, since it is smaller than the sum of its proper divisors (29733852945).

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

15779379456 is an frugal number, since it uses more digits than its factorization.

15779379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 2622 counting only the distinct ones).

The product of its digits is 50009400, while the sum is 63.

The spelling of 15779379456 in words is "fifteen billion, seven hundred seventy-nine million, three hundred seventy-nine thousand, four hundred fifty-six".