23289146729689 has 9 divisors (see below), whose sum is σ = 24345859210239. Its totient is φ = 22276468963320.

The previous prime is 23289146729617. The next prime is 23289146729713. The reversal of 23289146729689 is 98692764198232.

The square root of 23289146729689 is 4825883.

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

It can be written as a sum of positive squares in only one way, i.e., 7394413017289 + 15894733712400 = 2719267^2 + 3986820^2 .

It is not a de Polignac number, because 23289146729689 - 2⁷ = 23289146729561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23289146759689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110890399 + ... + 111100219.

Almost surely, 2^{23289146729689} is an apocalyptic number.

23289146729689 is the 4825883-rd square number.

23289146729689 is the 2412942-nd centered octagonal number.

It is an amenable number.

23289146729689 is a deficient number, since it is larger than the sum of its proper divisors (1056712480550).

23289146729689 is an frugal number, since it uses more digits than its factorization.

23289146729689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419688 (or 209844 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 76.

The spelling of 23289146729689 in words is "twenty-three trillion, two hundred eighty-nine billion, one hundred forty-six million, seven hundred twenty-nine thousand, six hundred eighty-nine".