18313180704 has 1152 divisors, whose sum is σ = 74375884800. Its totient is φ = 4269957120.

The previous prime is 18313180703. The next prime is 18313180741. The reversal of 18313180704 is 40708131381.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18313180703) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 446662924 + ... + 446662964.

It is an arithmetic number, because the mean of its divisors is an integer number (64562400).

Almost surely, 2^18313180704 is an apocalyptic number.

18313180704 is a gapful number since it is divisible by the number (14) 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 18313180704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37187942400).

18313180704 is an abundant number, since it is smaller than the sum of its proper divisors (56062704096).

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

18313180704 is a wasteful number, since it uses less digits than its factorization.

18313180704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 18313180704 in words is "eighteen billion, three hundred thirteen million, one hundred eighty thousand, seven hundred four".