18630864000000 has 2464 divisors, whose sum is σ = 80906639381760. Its totient is φ = 4147200000000.

The previous prime is 18630863999999. The next prime is 18630864000043. The reversal of 18630864000000 is 46803681.

It is a happy number.

18630864000000 is a `hidden beast` number, since 1 + 8 + 6 + 3 + 0 + 8 + 640 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 184463999950 + ... + 184464000050.

Almost surely, 2^{18630864000000} is an apocalyptic number.

18630864000000 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 18630864000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40453319690880).

18630864000000 is an abundant number, since it is smaller than the sum of its proper divisors (62275775381760).

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

18630864000000 is an frugal number, since it uses more digits than its factorization.

18630864000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18630864000000 in words is "eighteen trillion, six hundred thirty billion, eight hundred sixty-four million", and thus it is an aban number.