13086794188944 has 640 divisors, whose sum is σ = 45406465228800. Its totient is φ = 3529368944640.

The previous prime is 13086794188927. The next prime is 13086794189003. The reversal of 13086794188944 is 44988149768031.

13086794188944 is a `hidden beast` number, since 1 + 30 + 8 + 67 + 9 + 418 + 89 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 6994544329 + ... + 6994546199.

It is an arithmetic number, because the mean of its divisors is an integer number (70947601920).

Almost surely, 2^{13086794188944} is an apocalyptic number.

13086794188944 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 13086794188944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22703232614400).

13086794188944 is an abundant number, since it is smaller than the sum of its proper divisors (32319671039856).

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

13086794188944 is a wasteful number, since it uses less digits than its factorization.

13086794188944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 13086794188944 in words is "thirteen trillion, eighty-six billion, seven hundred ninety-four million, one hundred eighty-eight thousand, nine hundred forty-four".