181922217027936 has 384 divisors, whose sum is σ = 599565108989952. Its totient is φ = 46921192704000.

The previous prime is 181922217027931. The next prime is 181922217027973. The reversal of 181922217027936 is 639720712229181.

It is a self number, because there is not a number n which added to its sum of digits gives 181922217027936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181922217027931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1037032071 + ... + 1037207481.

It is an arithmetic number, because the mean of its divisors is an integer number (1561367471328).

Almost surely, 2^{181922217027936} is an apocalyptic number.

181922217027936 is a gapful number since it is divisible by the number (16) 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 181922217027936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299782554494976).

181922217027936 is an abundant number, since it is smaller than the sum of its proper divisors (417642891962016).

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

181922217027936 is a wasteful number, since it uses less digits than its factorization.

181922217027936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176426 (or 176418 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 181922217027936 in words is "one hundred eighty-one trillion, nine hundred twenty-two billion, two hundred seventeen million, twenty-seven thousand, nine hundred thirty-six".