13405934656 has 63 divisors (see below), whose sum is σ = 27344528623. Its totient is φ = 6520954880.

The previous prime is 13405934623. The next prime is 13405934657. The reversal of 13405934656 is 65643950431.

The square root of 13405934656 is 115784.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5018305600 + 8387629056 = 70840^2 + 91584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13405934657) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37976976 + ... + 37977328.

Almost surely, 2^13405934656 is an apocalyptic number.

13405934656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13405934656 is the 115784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13405934656

13405934656 is an abundant number, since it is smaller than the sum of its proper divisors (13938593967).

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

13405934656 is an frugal number, since it uses more digits than its factorization.

13405934656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 13405934656 in words is "thirteen billion, four hundred five million, nine hundred thirty-four thousand, six hundred fifty-six".