181222734341376 has 324 divisors, whose sum is σ = 654572746268532. Its totient is φ = 47795006472192.

The previous prime is 181222734341357. The next prime is 181222734341401. The reversal of 181222734341376 is 673143437222181.

181222734341376 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 2 + 2 + 73 + 434 + 137 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89200922501376 + 92021811840000 = 9444624^2 + 9592800^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60271521 + ... + 63206816.

Almost surely, 2^{181222734341376} is an apocalyptic number.

181222734341376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

181222734341376 is an abundant number, since it is smaller than the sum of its proper divisors (473350011927156).

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

181222734341376 is a wasteful number, since it uses less digits than its factorization.

181222734341376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123478386 (or 123478362 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 181222734341376 in words is "one hundred eighty-one trillion, two hundred twenty-two billion, seven hundred thirty-four million, three hundred forty-one thousand, three hundred seventy-six".