23667729762961 has 2 divisors, whose sum is σ = 23667729762962. Its totient is φ = 23667729762960.

The previous prime is 23667729762953. The next prime is 23667729763009. The reversal of 23667729762961 is 16926792776632.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21482817121936 + 2184912641025 = 4634956^2 + 1478145^2 .

It is a cyclic number.

It is not a de Polignac number, because 23667729762961 - 2³ = 23667729762953 is a prime.

It is a super-2 number, since 2×23667729762961² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23667729762931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11833864881480 + 11833864881481.

It is an arithmetic number, because the mean of its divisors is an integer number (11833864881481).

Almost surely, 2^{23667729762961} is an apocalyptic number.

It is an amenable number.

23667729762961 is a deficient number, since it is larger than the sum of its proper divisors (1).

23667729762961 is an equidigital number, since it uses as much as digits as its factorization.

23667729762961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864162432, while the sum is 73.

The spelling of 23667729762961 in words is "twenty-three trillion, six hundred sixty-seven billion, seven hundred twenty-nine million, seven hundred sixty-two thousand, nine hundred sixty-one".