13397149584 has 360 divisors, whose sum is σ = 49448293440. Its totient is φ = 3346914816.

The previous prime is 13397149501. The next prime is 13397149621. The reversal of 13397149584 is 48594179331.

13397149584 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 71 + 495 + 84 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13397149584.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1738989 + ... + 1746675.

Almost surely, 2^13397149584 is an apocalyptic number.

13397149584 is a gapful number since it is divisible by the number (14) 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 13397149584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24724146720).

13397149584 is an abundant number, since it is smaller than the sum of its proper divisors (36051143856).

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

13397149584 is a wasteful number, since it uses less digits than its factorization.

13397149584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7747 (or 7731 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 13397149584 in words is "thirteen billion, three hundred ninety-seven million, one hundred forty-nine thousand, five hundred eighty-four".