13766777888768 has 56 divisors (see below), whose sum is σ = 27576507551472. Its totient is φ = 6872230199296.

The previous prime is 13766777888753. The next prime is 13766777888771. The reversal of 13766777888768 is 86788877766731.

It is a super-2 number, since 2×13766777888768² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3692621 + ... + 6416307.

Almost surely, 2^{13766777888768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13766777888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788253775736).

13766777888768 is an abundant number, since it is smaller than the sum of its proper divisors (13809729662704).

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

13766777888768 is an frugal number, since it uses more digits than its factorization.

13766777888768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724330 (or 2724306 counting only the distinct ones).

The product of its digits is 44609273856, while the sum is 89.

The spelling of 13766777888768 in words is "thirteen trillion, seven hundred sixty-six billion, seven hundred seventy-seven million, eight hundred eighty-eight thousand, seven hundred sixty-eight".