229679604001 has 9 divisors (see below), whose sum is σ = 235438320153. Its totient is φ = 224058492480.

The previous prime is 229679603981. The next prime is 229679604041. The reversal of 229679604001 is 100406976922.

The square root of 229679604001 is 479249.

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

229679604001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3788525601 + 225891078400 = 61551^2 + 475280^2 .

It is not a de Polignac number, because 229679604001 - 2²³ = 229671215393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (229679604041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19643365 + ... + 19655053.

Almost surely, 2^229679604001 is an apocalyptic number.

229679604001 is the 479249-th square number.

229679604001 is the 239625-th centered octagonal number.

It is an amenable number.

229679604001 is a deficient number, since it is larger than the sum of its proper divisors (5758716152).

229679604001 is an frugal number, since it uses more digits than its factorization.

229679604001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23460 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 229679604001 in words is "two hundred twenty-nine billion, six hundred seventy-nine million, six hundred four thousand, one".