13397614272 has 224 divisors, whose sum is σ = 45778521600. Its totient is φ = 3762809856.

The previous prime is 13397614163. The next prime is 13397614273. The reversal of 13397614272 is 27241679331.

13397614272 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 7 + 614 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13397614273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704278 + ... + 723050.

It is an arithmetic number, because the mean of its divisors is an integer number (204368400).

Almost surely, 2^13397614272 is an apocalyptic number.

13397614272 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 13397614272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22889260800).

13397614272 is an abundant number, since it is smaller than the sum of its proper divisors (32380907328).

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

13397614272 is a wasteful number, since it uses less digits than its factorization.

13397614272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18860 (or 18844 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 13397614272 in words is "thirteen billion, three hundred ninety-seven million, six hundred fourteen thousand, two hundred seventy-two".