18363348000 has 720 divisors, whose sum is σ = 71586739224. Its totient is φ = 4609612800.

The previous prime is 18363347993. The next prime is 18363348001. The reversal of 18363348000 is 84336381.

It is a happy number.

18363348000 is a `hidden beast` number, since 18 + 3 + 633 + 4 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3705887376 + 14657460624 = 60876^2 + 121068^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (18363348001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 116963922 + ... + 116964078.

Almost surely, 2^18363348000 is an apocalyptic number.

18363348000 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 18363348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35793369612).

18363348000 is an abundant number, since it is smaller than the sum of its proper divisors (53223391224).

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

18363348000 is a wasteful number, since it uses less digits than its factorization.

18363348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 18363348000 in words is "eighteen billion, three hundred sixty-three million, three hundred forty-eight thousand".