18868432000 has 256 divisors, whose sum is σ = 52288104960. Its totient is φ = 6712320000.

The previous prime is 18868431979. The next prime is 18868432021. The reversal of 18868432000 is 23486881.

It is an interprime number because it is at equal distance from previous prime (18868431979) and next prime (18868432021).

It is a super-2 number, since 2×18868432000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 31 ways as a sum of consecutive naturals, for example, 8270860 + ... + 8273140.

It is an arithmetic number, because the mean of its divisors is an integer number (204250410).

Almost surely, 2^18868432000 is an apocalyptic number.

18868432000 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 18868432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26144052480).

18868432000 is an abundant number, since it is smaller than the sum of its proper divisors (33419672960).

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

18868432000 is a wasteful number, since it uses less digits than its factorization.

18868432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 18868432000 in words is "eighteen billion, eight hundred sixty-eight million, four hundred thirty-two thousand".