13738165056 has 560 divisors, whose sum is σ = 51361677312. Its totient is φ = 3527193600.

The previous prime is 13738165043. The next prime is 13738165087. The reversal of 13738165056 is 65056183731.

13738165056 is a `hidden beast` number, since 137 + 3 + 8 + 1 + 6 + 505 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50694201 + ... + 50694471.

Almost surely, 2^13738165056 is an apocalyptic number.

13738165056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13738165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680838656).

13738165056 is an abundant number, since it is smaller than the sum of its proper divisors (37623512256).

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

13738165056 is a wasteful number, since it uses less digits than its factorization.

13738165056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13738165056 in words is "thirteen billion, seven hundred thirty-eight million, one hundred sixty-five thousand, fifty-six".