18421250688 has 192 divisors, whose sum is σ = 56146446720. Its totient is φ = 6009292800.

The previous prime is 18421250623. The next prime is 18421250693. The reversal of 18421250688 is 88605212481.

18421250688 is a `hidden beast` number, since 18 + 42 + 12 + 506 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×18421250688³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455588 + ... + 1468188.

It is an arithmetic number, because the mean of its divisors is an integer number (292429410).

Almost surely, 2^18421250688 is an apocalyptic number.

18421250688 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 18421250688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28073223360).

18421250688 is an abundant number, since it is smaller than the sum of its proper divisors (37725196032).

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

18421250688 is an equidigital number, since it uses as much as digits as its factorization.

18421250688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12677 (or 12653 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 18421250688 in words is "eighteen billion, four hundred twenty-one million, two hundred fifty thousand, six hundred eighty-eight".