13338757152 has 72 divisors (see below), whose sum is σ = 43350967296. Its totient is φ = 3811072896.

The previous prime is 13338757151. The next prime is 13338757163. The reversal of 13338757152 is 25175783331.

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

It is a super-2 number, since 2×13338757152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13338757098 and 13338757107.

It is not an unprimeable number, because it can be changed into a prime (13338757151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3306208 + ... + 3310239.

It is an arithmetic number, because the mean of its divisors is an integer number (602096768).

Almost surely, 2^13338757152 is an apocalyptic number.

13338757152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13338757152 is an abundant number, since it is smaller than the sum of its proper divisors (30012210144).

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

13338757152 is a wasteful number, since it uses less digits than its factorization.

13338757152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6616470 (or 6616459 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The spelling of 13338757152 in words is "thirteen billion, three hundred thirty-eight million, seven hundred fifty-seven thousand, one hundred fifty-two".