13872018221856 has 72 divisors (see below), whose sum is σ = 40004165283264. Its totient is φ = 4558879221120.

The previous prime is 13872018221821. The next prime is 13872018221903. The reversal of 13872018221856 is 65812281027831.

It is a happy number.

13872018221856 is a `hidden beast` number, since 1 + 387 + 2 + 0 + 1 + 82 + 2 + 185 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339181876 + ... + 339222771.

It is an arithmetic number, because the mean of its divisors is an integer number (555613406712).

Almost surely, 2^{13872018221856} is an apocalyptic number.

13872018221856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13872018221856 is an abundant number, since it is smaller than the sum of its proper divisors (26132147061408).

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

13872018221856 is a wasteful number, since it uses less digits than its factorization.

13872018221856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678404734 (or 678404723 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 13872018221856 in words is "thirteen trillion, eight hundred seventy-two billion, eighteen million, two hundred twenty-one thousand, eight hundred fifty-six".