13767736896 has 63 divisors (see below), whose sum is σ = 39470805361. Its totient is φ = 4588306944.

The previous prime is 13767736831. The next prime is 13767736933. The reversal of 13767736896 is 69863776731.

The square root of 13767736896 is 117336.

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

It can be written as a sum of positive squares in only one way, i.e., 9630674496 + 4137062400 = 98136^2 + 64320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2813620 + ... + 2818508.

Almost surely, 2^13767736896 is an apocalyptic number.

13767736896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13767736896 is the 117336-th square number.

It is an amenable number.

13767736896 is an abundant number, since it is smaller than the sum of its proper divisors (25703068465).

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

13767736896 is an frugal number, since it uses more digits than its factorization.

13767736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9796 (or 4894 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The spelling of 13767736896 in words is "thirteen billion, seven hundred sixty-seven million, seven hundred thirty-six thousand, eight hundred ninety-six".