18313996800 has 480 divisors, whose sum is σ = 66636877824. Its totient is φ = 4397056000.

The previous prime is 18313996783. The next prime is 18313996817. The reversal of 18313996800 is 869931381.

It is an interprime number because it is at equal distance from previous prime (18313996783) and next prime (18313996817).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18313996800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80678287 + ... + 80678513.

Almost surely, 2^18313996800 is an apocalyptic number.

18313996800 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 18313996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33318438912).

18313996800 is an abundant number, since it is smaller than the sum of its proper divisors (48322881024).

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

18313996800 is a wasteful number, since it uses less digits than its factorization.

18313996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 18313996800 in words is "eighteen billion, three hundred thirteen million, nine hundred ninety-six thousand, eight hundred".