18364896000 has 1296 divisors, whose sum is σ = 79389483264. Its totient is φ = 4055040000.

The previous prime is 18364895999. The next prime is 18364896001. The reversal of 18364896000 is 69846381.

18364896000 is a `hidden beast` number, since 1 + 8 + 36 + 4 + 8 + 9 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18364895999) and next prime (18364896001).

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 (18364896001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 592415985 + ... + 592416015.

Almost surely, 2^18364896000 is an apocalyptic number.

18364896000 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 18364896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39694741632).

18364896000 is an abundant number, since it is smaller than the sum of its proper divisors (61024587264).

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

18364896000 is a wasteful number, since it uses less digits than its factorization.

18364896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 18364896000 in words is "eighteen billion, three hundred sixty-four million, eight hundred ninety-six thousand".