13346734684272 has 320 divisors, whose sum is σ = 38858477898240. Its totient is φ = 3945102120960.

The previous prime is 13346734684253. The next prime is 13346734684289. The reversal of 13346734684272 is 27248643764331.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2354333854 + ... + 2354339522.

It is an arithmetic number, because the mean of its divisors is an integer number (121432743432).

Almost surely, 2^{13346734684272} is an apocalyptic number.

13346734684272 is a gapful number since it is divisible by the number (12) 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 13346734684272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19429238949120).

13346734684272 is an abundant number, since it is smaller than the sum of its proper divisors (25511743213968).

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

13346734684272 is a wasteful number, since it uses less digits than its factorization.

13346734684272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6613 (or 6585 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 60.

The spelling of 13346734684272 in words is "thirteen trillion, three hundred forty-six billion, seven hundred thirty-four million, six hundred eighty-four thousand, two hundred seventy-two".