181349355168 has 120 divisors (see below), whose sum is σ = 538237313460. Its totient is φ = 59895106560.

The previous prime is 181349355149. The next prime is 181349355197. The reversal of 181349355168 is 861553943181.

181349355168 is a `hidden beast` number, since 1 + 8 + 1 + 34 + 93 + 5 + 516 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166865714064 + 14483641104 = 408492^2 + 120348^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38413 + ... + 603468.

Almost surely, 2^181349355168 is an apocalyptic number.

181349355168 is a gapful number since it is divisible by the number (18) 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 181349355168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269118656730).

181349355168 is an abundant number, since it is smaller than the sum of its proper divisors (356887958292).

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

181349355168 is a wasteful number, since it uses less digits than its factorization.

181349355168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642012 (or 641995 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 181349355168 in words is "one hundred eighty-one billion, three hundred forty-nine million, three hundred fifty-five thousand, one hundred sixty-eight".