18931262112 has 384 divisors, whose sum is σ = 65028096000. Its totient is φ = 5355673344.

The previous prime is 18931262111. The next prime is 18931262137. The reversal of 18931262112 is 21126213981.

18931262112 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 12 + 621 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18931262111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37636453 + ... + 37636955.

It is an arithmetic number, because the mean of its divisors is an integer number (169344000).

Almost surely, 2^18931262112 is an apocalyptic number.

18931262112 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 18931262112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32514048000).

18931262112 is an abundant number, since it is smaller than the sum of its proper divisors (46096833888).

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

18931262112 is a wasteful number, since it uses less digits than its factorization.

18931262112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 642 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 18931262112 in words is "eighteen billion, nine hundred thirty-one million, two hundred sixty-two thousand, one hundred twelve".