18125437968 has 180 divisors, whose sum is σ = 56202625024. Its totient is φ = 5448643200.

The previous prime is 18125437951. The next prime is 18125438003. The reversal of 18125437968 is 86973452181.

18125437968 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 543 + 7 + 96 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2208753 + ... + 2216943.

Almost surely, 2^18125437968 is an apocalyptic number.

18125437968 is a gapful number since it is divisible by the number (18) 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 18125437968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28101312512).

18125437968 is an abundant number, since it is smaller than the sum of its proper divisors (38077187056).

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

18125437968 is a wasteful number, since it uses less digits than its factorization.

18125437968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354 (or 8334 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 18125437968 in words is "eighteen billion, one hundred twenty-five million, four hundred thirty-seven thousand, nine hundred sixty-eight".