229970582777961 has 27 divisors (see below), whose sum is σ = 333775435662903. Its totient is φ = 152580747327120.

The previous prime is 229970582777927. The next prime is 229970582777987. The reversal of 229970582777961 is 169777285079922.

The square root of 229970582777961 is 15164781.

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

229970582777961 is a `hidden beast` number, since 2 + 29 + 9 + 7 + 0 + 582 + 7 + 7 + 7 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 187725210651225 + 42245372126736 = 13701285^2 + 6499644^2 .

It is not a de Polignac number, because 229970582777961 - 2⁷ = 229970582777833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (229970582777911) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9599294395 + ... + 9599318351.

Almost surely, 2^{229970582777961} is an apocalyptic number.

229970582777961 is the 15164781-st square number.

229970582777961 is the 7582391-st centered octagonal number.

It is an amenable number.

229970582777961 is a deficient number, since it is larger than the sum of its proper divisors (103804852884942).

229970582777961 is an frugal number, since it uses more digits than its factorization.

229970582777961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48342 (or 24171 counting only the distinct ones).

The product of its (nonzero) digits is 3360631680, while the sum is 81.

The spelling of 229970582777961 in words is "two hundred twenty-nine trillion, nine hundred seventy billion, five hundred eighty-two million, seven hundred seventy-seven thousand, nine hundred sixty-one".