13922256251904 has 2816 divisors, whose sum is σ = 55679062376448. Its totient is φ = 2997485568000.

The previous prime is 13922256251837. The next prime is 13922256251927. The reversal of 13922256251904 is 40915265222931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 255 ways as a sum of consecutive naturals, for example, 196088116189 + ... + 196088116259.

Almost surely, 2^{13922256251904} is an apocalyptic number.

13922256251904 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 13922256251904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27839531188224).

13922256251904 is an abundant number, since it is smaller than the sum of its proper divisors (41756806124544).

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

13922256251904 is a wasteful number, since it uses less digits than its factorization.

13922256251904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 13922256251904 in words is "thirteen trillion, nine hundred twenty-two billion, two hundred fifty-six million, two hundred fifty-one thousand, nine hundred four".