18200173026816 has 960 divisors, whose sum is σ = 59528673135360. Its totient is φ = 5306133381120.

The previous prime is 18200173026799. The next prime is 18200173026821. The reversal of 18200173026816 is 61862037100281.

18200173026816 is a `hidden beast` number, since 1 + 8 + 200 + 173 + 0 + 268 + 16 = 666.

It is a super-3 number, since 3×18200173026816³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38972533015 + ... + 38972533481.

It is an arithmetic number, because the mean of its divisors is an integer number (62009034516).

Almost surely, 2^{18200173026816} is an apocalyptic number.

18200173026816 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 18200173026816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29764336567680).

18200173026816 is an abundant number, since it is smaller than the sum of its proper divisors (41328500108544).

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

18200173026816 is a wasteful number, since it uses less digits than its factorization.

18200173026816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18200173026816 in words is "eighteen trillion, two hundred billion, one hundred seventy-three million, twenty-six thousand, eight hundred sixteen".