18238970880 has 880 divisors, whose sum is σ = 74900548800. Its totient is φ = 4204265472.

The previous prime is 18238970879. The next prime is 18238970923. The reversal of 18238970880 is 8807983281.

18238970880 is a `hidden beast` number, since 182 + 389 + 7 + 0 + 8 + 80 = 666.

It is a super-2 number, since 2×18238970880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91653021 + ... + 91653219.

It is an arithmetic number, because the mean of its divisors is an integer number (85114260).

Almost surely, 2^18238970880 is an apocalyptic number.

18238970880 is a gapful number since it is divisible by the number (10) 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 18238970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37450274400).

18238970880 is an abundant number, since it is smaller than the sum of its proper divisors (56661577920).

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

18238970880 is a wasteful number, since it uses less digits than its factorization.

18238970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 18238970880 in words is "eighteen billion, two hundred thirty-eight million, nine hundred seventy thousand, eight hundred eighty".