18298471968000 has 5184 divisors, whose sum is σ = 89511757171200. Its totient is φ = 3600698572800.

The previous prime is 18298471967957. The next prime is 18298471968041. The reversal of 18298471968000 is 86917489281.

18298471968000 is a `hidden beast` number, since 1 + 82 + 9 + 8 + 471 + 9 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 630981791986 + ... + 630981792014.

Almost surely, 2^{18298471968000} is an apocalyptic number.

18298471968000 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 18298471968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44755878585600).

18298471968000 is an abundant number, since it is smaller than the sum of its proper divisors (71213285203200).

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

18298471968000 is a wasteful number, since it uses less digits than its factorization.

18298471968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 18298471968000 in words is "eighteen trillion, two hundred ninety-eight billion, four hundred seventy-one million, nine hundred sixty-eight thousand".