13904225828136 has 256 divisors, whose sum is σ = 45650202624000. Its totient is φ = 3838893626880.

The previous prime is 13904225828123. The next prime is 13904225828177. The reversal of 13904225828136 is 63182852240931.

13904225828136 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 4 + 22 + 582 + 8 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4375716 + ... + 6852396.

It is an arithmetic number, because the mean of its divisors is an integer number (178321104000).

Almost surely, 2^{13904225828136} 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 13904225828136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22825101312000).

13904225828136 is an abundant number, since it is smaller than the sum of its proper divisors (31745976795864).

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

13904225828136 is a wasteful number, since it uses less digits than its factorization.

13904225828136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476829 (or 2476819 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 13904225828136 in words is "thirteen trillion, nine hundred four billion, two hundred twenty-five million, eight hundred twenty-eight thousand, one hundred thirty-six".