18765314498832 has 120 divisors (see below), whose sum is σ = 53343210399360. Its totient is φ = 5680215340800.

The previous prime is 18765314498783. The next prime is 18765314498849. The reversal of 18765314498832 is 23889441356781.

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 23 ways as a sum of consecutive naturals, for example, 3517794 + ... + 7064382.

It is an arithmetic number, because the mean of its divisors is an integer number (444526753328).

Almost surely, 2^{18765314498832} is an apocalyptic number.

18765314498832 is a gapful number since it is divisible by the number (12) 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 18765314498832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671605199680).

18765314498832 is an abundant number, since it is smaller than the sum of its proper divisors (34577895900528).

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

18765314498832 is a wasteful number, since it uses less digits than its factorization.

18765314498832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547533 (or 3547516 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 69.

The spelling of 18765314498832 in words is "eighteen trillion, seven hundred sixty-five billion, three hundred fourteen million, four hundred ninety-eight thousand, eight hundred thirty-two".