181505992877056 has 99 divisors (see below), whose sum is σ = 371506927544283. Its totient is φ = 88633408174080.

The previous prime is 181505992877009. The next prime is 181505992877063. The reversal of 181505992877056 is 650778299505181.

The square root of 181505992877056 is 13472416.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 181505992877056.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18538039521 + ... + 18538049311.

Almost surely, 2^{181505992877056} is an apocalyptic number.

181505992877056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

181505992877056 is the 13472416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181505992877056

181505992877056 is an abundant number, since it is smaller than the sum of its proper divisors (190000934667227).

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

181505992877056 is an frugal number, since it uses more digits than its factorization.

181505992877056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19688 (or 9836 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 73.

The spelling of 181505992877056 in words is "one hundred eighty-one trillion, five hundred five billion, nine hundred ninety-two million, eight hundred seventy-seven thousand, fifty-six".