18251274097872 has 160 divisors (see below), whose sum is σ = 53597862552960. Its totient is φ = 5944200837120.

The previous prime is 18251274097753. The next prime is 18251274097897. The reversal of 18251274097872 is 27879047215281.

18251274097872 is a `hidden beast` number, since 1 + 8 + 2 + 512 + 7 + 40 + 9 + 7 + 8 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3864123 + ... + 7171749.

It is an arithmetic number, because the mean of its divisors is an integer number (334986640956).

Almost surely, 2^{18251274097872} is an apocalyptic number.

18251274097872 is a gapful number since it is divisible by the number (12) 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 18251274097872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26798931276480).

18251274097872 is an abundant number, since it is smaller than the sum of its proper divisors (35346588455088).

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

18251274097872 is a wasteful number, since it uses less digits than its factorization.

18251274097872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307938 (or 3307926 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 18251274097872 in words is "eighteen trillion, two hundred fifty-one billion, two hundred seventy-four million, ninety-seven thousand, eight hundred seventy-two".