13291137828864 has 576 divisors, whose sum is σ = 48172445193600. Its totient is φ = 3574071558144.

The previous prime is 13291137828833. The next prime is 13291137828883. The reversal of 13291137828864 is 46882873119231.

13291137828864 is a `hidden beast` number, since 1 + 3 + 291 + 1 + 3 + 7 + 8 + 288 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59109802 + ... + 59334230.

It is an arithmetic number, because the mean of its divisors is an integer number (83632717350).

Almost surely, 2^{13291137828864} is an apocalyptic number.

13291137828864 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 13291137828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24086222596800).

13291137828864 is an abundant number, since it is smaller than the sum of its proper divisors (34881307364736).

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

13291137828864 is an equidigital number, since it uses as much as digits as its factorization.

13291137828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224490 (or 224458 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 13291137828864 in words is "thirteen trillion, two hundred ninety-one billion, one hundred thirty-seven million, eight hundred twenty-eight thousand, eight hundred sixty-four".