13956114496 has 21 divisors (see below), whose sum is σ = 27696040239. Its totient is φ = 6977584704.

The previous prime is 13956114463. The next prime is 13956114511. The reversal of 13956114496 is 69441165931.

The square root of 13956114496 is 118136.

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

13956114496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13956114496² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 937705 + ... + 952471.

It is an arithmetic number, because the mean of its divisors is an integer number (1318859059).

Almost surely, 2^13956114496 is an apocalyptic number.

13956114496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13956114496 is the 118136-th square number.

It is an amenable number.

13956114496 is a deficient number, since it is larger than the sum of its proper divisors (13739925743).

13956114496 is an frugal number, since it uses more digits than its factorization.

13956114496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29546 (or 14769 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

Multiplying 13956114496 by its sum of digits (49), we get a square (683849610304 = 826952²).

The spelling of 13956114496 in words is "thirteen billion, nine hundred fifty-six million, one hundred fourteen thousand, four hundred ninety-six".