18097841664 has 400 divisors, whose sum is σ = 63757157376. Its totient is φ = 5001523200.

The previous prime is 18097841659. The next prime is 18097841681. The reversal of 18097841664 is 46614879081.

18097841664 is a `hidden beast` number, since 1 + 80 + 97 + 8 + 416 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18097841664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8998419 + ... + 9000429.

Almost surely, 2^18097841664 is an apocalyptic number.

18097841664 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 18097841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31878578688).

18097841664 is an abundant number, since it is smaller than the sum of its proper divisors (45659315712).

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

18097841664 is an equidigital number, since it uses as much as digits as its factorization.

18097841664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 18097841664 in words is "eighteen billion, ninety-seven million, eight hundred forty-one thousand, six hundred sixty-four".