229661129961 has 48 divisors (see below), whose sum is σ = 363812117760. Its totient is φ = 138958364160.

The previous prime is 229661129959. The next prime is 229661130011. The reversal of 229661129961 is 169921166922.

229661129961 is a `hidden beast` number, since 2 + 296 + 6 + 1 + 1 + 299 + 61 = 666.

It is not a de Polignac number, because 229661129961 - 2¹ = 229661129959 is a prime.

It is a super-2 number, since 2×229661129961² (a number of 24 digits) contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 229661129898 and 229661129907.

It is not an unprimeable number, because it can be changed into a prime (229661129561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3566496 + ... + 3630318.

It is an arithmetic number, because the mean of its divisors is an integer number (7579419120).

Almost surely, 2^229661129961 is an apocalyptic number.

It is an amenable number.

229661129961 is a deficient number, since it is larger than the sum of its proper divisors (134150987799).

229661129961 is a wasteful number, since it uses less digits than its factorization.

229661129961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64686 (or 64683 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 229661129961 in words is "two hundred twenty-nine billion, six hundred sixty-one million, one hundred twenty-nine thousand, nine hundred sixty-one".