18367997616 has 320 divisors, whose sum is σ = 59846169600. Its totient is φ = 5361168384.

The previous prime is 18367997597. The next prime is 18367997617. The reversal of 18367997616 is 61679976381.

18367997616 is a `hidden beast` number, since 1 + 8 + 3 + 6 + 7 + 9 + 9 + 7 + 616 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18367997617) 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, 6248275 + ... + 6251213.

It is an arithmetic number, because the mean of its divisors is an integer number (187019280).

Almost surely, 2^18367997616 is an apocalyptic number.

18367997616 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 18367997616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29923084800).

18367997616 is an abundant number, since it is smaller than the sum of its proper divisors (41478171984).

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

18367997616 is a wasteful number, since it uses less digits than its factorization.

18367997616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3021 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

It can be divided in two parts, 1836 and 7997616, that multiplied together give a square (14683622976 = 121176²).

The spelling of 18367997616 in words is "eighteen billion, three hundred sixty-seven million, nine hundred ninety-seven thousand, six hundred sixteen".