18516356352 has 360 divisors, whose sum is σ = 59988436200. Its totient is φ = 5646827520.

The previous prime is 18516356317. The next prime is 18516356359. The reversal of 18516356352 is 25365361581.

18516356352 is a `hidden beast` number, since 1 + 8 + 5 + 1 + 6 + 3 + 5 + 635 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 232989696 + 18283366656 = 15264^2 + 135216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18516356298 and 18516356307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18516356359) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40165402 + ... + 40165862.

It is an arithmetic number, because the mean of its divisors is an integer number (166634545).

Almost surely, 2^18516356352 is an apocalyptic number.

18516356352 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 18516356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29994218100).

18516356352 is an abundant number, since it is smaller than the sum of its proper divisors (41472079848).

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

18516356352 is a wasteful number, since it uses less digits than its factorization.

18516356352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 628 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 18516356352 in words is "eighteen billion, five hundred sixteen million, three hundred fifty-six thousand, three hundred fifty-two".