181163618004600 has 2304 divisors, whose sum is σ = 829976078131200. Its totient is φ = 35579305728000.

The previous prime is 181163618004557. The next prime is 181163618004673. The reversal of 181163618004600 is 6400816361181.

181163618004600 is a `hidden beast` number, since 1 + 8 + 1 + 1 + 6 + 3 + 6 + 180 + 0 + 460 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 32777927037 + ... + 32777932563.

It is an arithmetic number, because the mean of its divisors is an integer number (360232672800).

Almost surely, 2^{181163618004600} is an apocalyptic number.

181163618004600 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 181163618004600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414988039065600).

181163618004600 is an abundant number, since it is smaller than the sum of its proper divisors (648812460126600).

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

181163618004600 is a wasteful number, since it uses less digits than its factorization.

181163618004600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 181163618004600 in words is "one hundred eighty-one trillion, one hundred sixty-three billion, six hundred eighteen million, four thousand, six hundred".