18691513344 has 616 divisors, whose sum is σ = 66226181600. Its totient is φ = 5267275776.

The previous prime is 18691513307. The next prime is 18691513367. The reversal of 18691513344 is 44331519681.

18691513344 is a `hidden beast` number, since 1 + 8 + 6 + 91 + 513 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18691513344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 256048092 + ... + 256048164.

Almost surely, 2^18691513344 is an apocalyptic number.

18691513344 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 18691513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33113090800).

18691513344 is an abundant number, since it is smaller than the sum of its proper divisors (47534668256).

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

18691513344 is an frugal number, since it uses more digits than its factorization.

18691513344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 85 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 18691513344 in words is "eighteen billion, six hundred ninety-one million, five hundred thirteen thousand, three hundred forty-four".