18311527872 has 448 divisors, whose sum is σ = 60862464000. Its totient is φ = 5351132160.

The previous prime is 18311527867. The next prime is 18311527909. The reversal of 18311527872 is 27872511381.

18311527872 is a `hidden beast` number, since 18 + 31 + 1 + 527 + 87 + 2 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 92017629 + ... + 92017827.

Almost surely, 2^18311527872 is an apocalyptic number.

18311527872 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 18311527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30431232000).

18311527872 is an abundant number, since it is smaller than the sum of its proper divisors (42550936128).

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

18311527872 is a wasteful number, since it uses less digits than its factorization.

18311527872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The spelling of 18311527872 in words is "eighteen billion, three hundred eleven million, five hundred twenty-seven thousand, eight hundred seventy-two".