181118396511360 has 1344 divisors, whose sum is σ = 815503483045440. Its totient is φ = 37634909368320.

The previous prime is 181118396511329. The next prime is 181118396511407. The reversal of 181118396511360 is 63115693811181.

181118396511360 is a `hidden beast` number, since 1 + 8 + 1 + 1 + 1 + 8 + 3 + 96 + 511 + 36 + 0 = 666.

181118396511360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 181118396511297 and 181118396511306.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 394947159 + ... + 395405481.

It is an arithmetic number, because the mean of its divisors is an integer number (606773424885).

Almost surely, 2^{181118396511360} is an apocalyptic number.

181118396511360 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 181118396511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407751741522720).

181118396511360 is an abundant number, since it is smaller than the sum of its proper divisors (634385086534080).

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

181118396511360 is an equidigital number, since it uses as much as digits as its factorization.

181118396511360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458389 (or 458351 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 181118396511360 in words is "one hundred eighty-one trillion, one hundred eighteen billion, three hundred ninety-six million, five hundred eleven thousand, three hundred sixty".