13376165134336 has 45 divisors (see below), whose sum is σ = 26752450136601. Its totient is φ = 6687848497152.

The previous prime is 13376165134333. The next prime is 13376165134337. The reversal of 13376165134336 is 63343156167331.

The square root of 13376165134336 is 3657344.

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., 23396761600 + 13352768372736 = 152960^2 + 3654144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13376165134333) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 468125746 + ... + 468154318.

Almost surely, 2^{13376165134336} is an apocalyptic number.

13376165134336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13376165134336 is the 3657344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13376165134336

13376165134336 is an abundant number, since it is smaller than the sum of its proper divisors (13376285002265).

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

13376165134336 is an frugal number, since it uses more digits than its factorization.

13376165134336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57174 (or 28575 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 52.

The spelling of 13376165134336 in words is "thirteen trillion, three hundred seventy-six billion, one hundred sixty-five million, one hundred thirty-four thousand, three hundred thirty-six".