13886791959264 has 576 divisors, whose sum is σ = 44178821148672. Its totient is φ = 3804143616000.

The previous prime is 13886791959197. The next prime is 13886791959283. The reversal of 13886791959264 is 46295919768831.

It is a self number, because there is not a number n which added to its sum of digits gives 13886791959264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12705207102 + ... + 12705208194.

It is an arithmetic number, because the mean of its divisors is an integer number (76699342272).

Almost surely, 2^{13886791959264} is an apocalyptic number.

13886791959264 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 13886791959264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22089410574336).

13886791959264 is an abundant number, since it is smaller than the sum of its proper divisors (30292029189408).

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

13886791959264 is a wasteful number, since it uses less digits than its factorization.

13886791959264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1864 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 78.

The spelling of 13886791959264 in words is "thirteen trillion, eight hundred eighty-six billion, seven hundred ninety-one million, nine hundred fifty-nine thousand, two hundred sixty-four".