20181116304 has 400 divisors, whose sum is σ = 63508931200. Its totient is φ = 6167549952.

The previous prime is 20181116273. The next prime is 20181116317. The reversal of 20181116304 is 40361118102.

It is a happy number.

20181116304 is a `hidden beast` number, since 2 + 0 + 18 + 1 + 11 + 630 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 185147802 + ... + 185147910.

It is an arithmetic number, because the mean of its divisors is an integer number (158772328).

Almost surely, 2^20181116304 is an apocalyptic number.

20181116304 is a gapful number since it is divisible by the number (24) 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 20181116304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31754465600).

20181116304 is an abundant number, since it is smaller than the sum of its proper divisors (43327814896).

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

20181116304 is a wasteful number, since it uses less digits than its factorization.

20181116304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 20181116304 in words is "twenty billion, one hundred eighty-one million, one hundred sixteen thousand, three hundred four".