13674915072 has 360 divisors, whose sum is σ = 50192921856. Its totient is φ = 3606073344.

The previous prime is 13674915053. The next prime is 13674915101. The reversal of 13674915072 is 27051947631.

13674915072 is a `hidden beast` number, since 136 + 7 + 4 + 9 + 1 + 507 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1883353 + ... + 1890599.

Almost surely, 2^13674915072 is an apocalyptic number.

13674915072 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 13674915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096460928).

13674915072 is an abundant number, since it is smaller than the sum of its proper divisors (36518006784).

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

13674915072 is an equidigital number, since it uses as much as digits as its factorization.

13674915072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7295 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 13674915072 in words is "thirteen billion, six hundred seventy-four million, nine hundred fifteen thousand, seventy-two".