18638754400 has 144 divisors (see below), whose sum is σ = 52661629440. Its totient is φ = 6309388800.

The previous prime is 18638754397. The next prime is 18638754427. The reversal of 18638754400 is 445783681.

It is a happy number.

It is a congruent number.

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, 421335 + ... + 463465.

It is an arithmetic number, because the mean of its divisors is an integer number (365705760).

Almost surely, 2^18638754400 is an apocalyptic number.

18638754400 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 18638754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26330814720).

18638754400 is an abundant number, since it is smaller than the sum of its proper divisors (34022875040).

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

18638754400 is a wasteful number, since it uses less digits than its factorization.

18638754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42237 (or 42224 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 18638754400 in words is "eighteen billion, six hundred thirty-eight million, seven hundred fifty-four thousand, four hundred".