229993656761 has 64 divisors (see below), whose sum is σ = 280682496000. Its totient is φ = 185888947200.

The previous prime is 229993656743. The next prime is 229993656791. The reversal of 229993656761 is 167656399922.

229993656761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-229993656761 is a prime.

It is a super-2 number, since 2×229993656761² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (229993656791) 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 63 ways as a sum of consecutive naturals, for example, 122401220 + ... + 122403098.

It is an arithmetic number, because the mean of its divisors is an integer number (4385664000).

Almost surely, 2^229993656761 is an apocalyptic number.

It is an amenable number.

229993656761 is a deficient number, since it is larger than the sum of its proper divisors (50688839239).

229993656761 is a wasteful number, since it uses less digits than its factorization.

229993656761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270.

The product of its digits is 66134880, while the sum is 65.

The spelling of 229993656761 in words is "two hundred twenty-nine billion, nine hundred ninety-three million, six hundred fifty-six thousand, seven hundred sixty-one".