13766344992 has 72 divisors (see below), whose sum is σ = 40102908300. Its totient is φ = 4476856320.

The previous prime is 13766344981. The next prime is 13766345003. The reversal of 13766344992 is 29944366731.

It is a happy number.

13766344992 is a `hidden beast` number, since 137 + 6 + 63 + 449 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13766344981) and next prime (13766345003).

It can be written as a sum of positive squares in 2 ways, for example, as 11958734736 + 1807610256 = 109356^2 + 42516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571117 + ... + 594732.

Almost surely, 2^13766344992 is an apocalyptic number.

13766344992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13766344992 is an abundant number, since it is smaller than the sum of its proper divisors (26336563308).

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

13766344992 is a wasteful number, since it uses less digits than its factorization.

13766344992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165906 (or 1165895 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 13766344992 in words is "thirteen billion, seven hundred sixty-six million, three hundred forty-four thousand, nine hundred ninety-two".