18431760816 has 320 divisors, whose sum is σ = 62888832000. Its totient is φ = 5164653312.

The previous prime is 18431760761. The next prime is 18431760817. The reversal of 18431760816 is 61806713481.

18431760816 is a `hidden beast` number, since 1 + 8 + 4 + 31 + 7 + 608 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (18431760817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7852155 + ... + 7854501.

It is an arithmetic number, because the mean of its divisors is an integer number (196527600).

Almost surely, 2^18431760816 is an apocalyptic number.

18431760816 is a gapful number since it is divisible by the number (16) 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 18431760816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31444416000).

18431760816 is an abundant number, since it is smaller than the sum of its proper divisors (44457071184).

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

18431760816 is a wasteful number, since it uses less digits than its factorization.

18431760816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18431760816 in words is "eighteen billion, four hundred thirty-one million, seven hundred sixty thousand, eight hundred sixteen".