18536338963296 has 432 divisors, whose sum is σ = 67809702372048. Its totient is φ = 4748676710400.

The previous prime is 18536338963283. The next prime is 18536338963297. The reversal of 18536338963296 is 69236983363581.

It is a happy number.

18536338963296 is a `hidden beast` number, since 1 + 8 + 536 + 3 + 3 + 8 + 9 + 63 + 29 + 6 = 666.

It is a super-3 number, since 3×18536338963296³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18536338963297) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10514056 + ... + 12149816.

It is an arithmetic number, because the mean of its divisors is an integer number (156966903639).

Almost surely, 2^{18536338963296} is an apocalyptic number.

18536338963296 is a gapful number since it is divisible by the number (16) 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 18536338963296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33904851186024).

18536338963296 is an abundant number, since it is smaller than the sum of its proper divisors (49273363408752).

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

18536338963296 is a wasteful number, since it uses less digits than its factorization.

18536338963296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635875 (or 1635857 counting only the distinct ones).

The product of its digits is 906992640, while the sum is 72.

The spelling of 18536338963296 in words is "eighteen trillion, five hundred thirty-six billion, three hundred thirty-eight million, nine hundred sixty-three thousand, two hundred ninety-six".