18874944000 has 800 divisors, whose sum is σ = 76931629632. Its totient is φ = 4561920000.

The previous prime is 18874943999. The next prime is 18874944001. The reversal of 18874944000 is 44947881.

It is an interprime number because it is at equal distance from previous prime (18874943999) and next prime (18874944001).

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×18874944000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18874944001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57023835 + ... + 57024165.

Almost surely, 2^18874944000 is an apocalyptic number.

18874944000 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 18874944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38465814816).

18874944000 is an abundant number, since it is smaller than the sum of its proper divisors (58056685632).

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

18874944000 is an equidigital number, since it uses as much as digits as its factorization.

18874944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 18874944000 in words is "eighteen billion, eight hundred seventy-four million, nine hundred forty-four thousand".