182927761956241 has 27 divisors (see below), whose sum is σ = 185363367270417. Its totient is φ = 180524098441440.

The previous prime is 182927761956227. The next prime is 182927761956301. The reversal of 182927761956241 is 142659167729281.

The square root of 182927761956241 is 13525079.

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

It can be written as a sum of positive squares in 4 ways, for example, as 53364179196241 + 129563582760000 = 7305079^2 + 11382600^2 .

It is not a de Polignac number, because 182927761956241 - 2³⁷ = 182790323002769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (182927761956221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 588192160476 + ... + 588192160786.

Almost surely, 2^{182927761956241} is an apocalyptic number.

182927761956241 is the 13525079-th square number.

182927761956241 is the 6762540-th centered octagonal number.

It is an amenable number.

182927761956241 is a deficient number, since it is larger than the sum of its proper divisors (2435605314176).

182927761956241 is an frugal number, since it uses more digits than its factorization.

182927761956241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 745 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 70.

The spelling of 182927761956241 in words is "one hundred eighty-two trillion, nine hundred twenty-seven billion, seven hundred sixty-one million, nine hundred fifty-six thousand, two hundred forty-one".