18099193568256 has 440 divisors, whose sum is σ = 54445375368384. Its totient is φ = 5988808949760.

The previous prime is 18099193568243. The next prime is 18099193568303. The reversal of 18099193568256 is 65286539199081.

18099193568256 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 9 + 1 + 9 + 3 + 568 + 2 + 56 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 16409059801 + ... + 16409060903.

Almost surely, 2^{18099193568256} is an apocalyptic number.

18099193568256 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 18099193568256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27222687684192).

18099193568256 is an abundant number, since it is smaller than the sum of its proper divisors (36346181800128).

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

18099193568256 is a wasteful number, since it uses less digits than its factorization.

18099193568256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 72.

The spelling of 18099193568256 in words is "eighteen trillion, ninety-nine billion, one hundred ninety-three million, five hundred sixty-eight thousand, two hundred fifty-six".