18113394864600 has 288 divisors, whose sum is σ = 69525223672320. Its totient is φ = 4139949116160.

The previous prime is 18113394864583. The next prime is 18113394864623. The reversal of 18113394864600 is 646849331181.

18113394864600 is a `hidden beast` number, since 1 + 8 + 1 + 13 + 3 + 94 + 86 + 460 + 0 = 666.

It is a super-3 number, since 3×18113394864600³ (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 71 ways as a sum of consecutive naturals, for example, 268938529 + ... + 269005871.

It is an arithmetic number, because the mean of its divisors is an integer number (241407026640).

Almost surely, 2^{18113394864600} is an apocalyptic number.

18113394864600 is a gapful number since it is divisible by the number (10) 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 18113394864600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34762611836160).

18113394864600 is an abundant number, since it is smaller than the sum of its proper divisors (51411828807720).

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

18113394864600 is a wasteful number, since it uses less digits than its factorization.

18113394864600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88719 (or 88707 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 18113394864600 in words is "eighteen trillion, one hundred thirteen billion, three hundred ninety-four million, eight hundred sixty-four thousand, six hundred".