13812091156224 has 720 divisors, whose sum is σ = 42805255046400. Its totient is φ = 4427354308608.

The previous prime is 13812091156219. The next prime is 13812091156247. The reversal of 13812091156224 is 42265119021831.

13812091156224 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 2 + 0 + 9 + 1 + 15 + 622 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13812091156224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13688890632 + ... + 13688891640.

It is an arithmetic number, because the mean of its divisors is an integer number (59451743120).

Almost surely, 2^{13812091156224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13812091156224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21402627523200).

13812091156224 is an abundant number, since it is smaller than the sum of its proper divisors (28993163890176).

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

13812091156224 is a wasteful number, since it uses less digits than its factorization.

13812091156224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13812091156224 in words is "thirteen trillion, eight hundred twelve billion, ninety-one million, one hundred fifty-six thousand, two hundred twenty-four".