18395364816 has 80 divisors (see below), whose sum is σ = 53032369600. Its totient is φ = 6104979072.

The previous prime is 18395364809. The next prime is 18395364821. The reversal of 18395364816 is 61846359381.

18395364816 is a `hidden beast` number, since 183 + 95 + 364 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5955 + ... + 191901.

It is an arithmetic number, because the mean of its divisors is an integer number (662904620).

Almost surely, 2^18395364816 is an apocalyptic number.

18395364816 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 18395364816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516184800).

18395364816 is an abundant number, since it is smaller than the sum of its proper divisors (34637004784).

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

18395364816 is a wasteful number, since it uses less digits than its factorization.

18395364816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186193 (or 186181 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 18395364816 in words is "eighteen billion, three hundred ninety-five million, three hundred sixty-four thousand, eight hundred sixteen".