96644509129 has 27 divisors (see below), whose sum is σ = 113928893127. Its totient is φ = 81743241888.

The previous prime is 96644509121. The next prime is 96644509217. The reversal of 96644509129 is 92190544669.

The square root of 96644509129 is 310877.

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., 18557795529 + 78086713600 = 136227^2 + 279440^2 .

It is not a de Polignac number, because 96644509129 - 2³ = 96644509121 is a prime.

It is a super-2 number, since 2×96644509129² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96644509129.

It is not an unprimeable number, because it can be changed into a prime (96644509121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 193676122 + ... + 193676620.

Almost surely, 2^96644509129 is an apocalyptic number.

96644509129 is the 310877-th square number.

96644509129 is the 155439-th centered octagonal number.

It is an amenable number.

96644509129 is a deficient number, since it is larger than the sum of its proper divisors (17284383998).

96644509129 is an frugal number, since it uses more digits than its factorization.

96644509129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 96644509129 in words is "ninety-six billion, six hundred forty-four million, five hundred nine thousand, one hundred twenty-nine".