13047912864 has 360 divisors, whose sum is σ = 46996709760. Its totient is φ = 3531112704.

The previous prime is 13047912863. The next prime is 13047912881. The reversal of 13047912864 is 46821974031.

It is not an unprimeable number, because it can be changed into a prime (13047912863) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2410449 + ... + 2415855.

It is an arithmetic number, because the mean of its divisors is an integer number (130546416).

Almost surely, 2^13047912864 is an apocalyptic number.

13047912864 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 13047912864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23498354880).

13047912864 is an abundant number, since it is smaller than the sum of its proper divisors (33948796896).

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

13047912864 is a wasteful number, since it uses less digits than its factorization.

13047912864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13047912864 in words is "thirteen billion, forty-seven million, nine hundred twelve thousand, eight hundred sixty-four".