96801690276225 has 81 divisors (see below), whose sum is σ = 190580746048329. Its totient is φ = 46933365758400.

The previous prime is 96801690276157. The next prime is 96801690276251. The reversal of 96801690276225 is 52267209610869.

The square root of 96801690276225 is 9838785.

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

96801690276225 is a `hidden beast` number, since 9 + 6 + 80 + 1 + 69 + 0 + 276 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1196943214401 + 95604747061824 = 1094049^2 + 9777768^2 .

It is not a de Polignac number, because 96801690276225 - 2⁴³ = 88005597254017 is a prime.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1623369711 + ... + 1623429339.

Almost surely, 2^{96801690276225} is an apocalyptic number.

96801690276225 is the 9838785-th square number.

96801690276225 is the 4919393-rd centered octagonal number.

It is an amenable number.

96801690276225 is a deficient number, since it is larger than the sum of its proper divisors (93779055772104).

96801690276225 is an frugal number, since it uses more digits than its factorization.

96801690276225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119296 (or 59648 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 96801690276225 in words is "ninety-six trillion, eight hundred one billion, six hundred ninety million, two hundred seventy-six thousand, two hundred twenty-five".