18217976832 has 594 divisors, whose sum is σ = 63260786862. Its totient is φ = 5028249600.

The previous prime is 18217976773. The next prime is 18217976837. The reversal of 18217976832 is 23867971281.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 17146331136 + 1071645696 = 130944^2 + 32736^2 .

Its product of digits (2032128) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (18217976837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 587676657 + ... + 587676687.

Almost surely, 2^18217976832 is an apocalyptic number.

18217976832 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 18217976832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31630393431).

18217976832 is an abundant number, since it is smaller than the sum of its proper divisors (45042810030).

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

18217976832 is a wasteful number, since it uses less digits than its factorization.

18217976832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 64 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 18217976832 in words is "eighteen billion, two hundred seventeen million, nine hundred seventy-six thousand, eight hundred thirty-two".