93960704648889 has 75 divisors (see below), whose sum is σ = 152081260843083. Its totient is φ = 57812899131936.

The previous prime is 93960704648843. The next prime is 93960704648963. The reversal of 93960704648889 is 98884640706939.

The square root of 93960704648889 is 9693333.

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

93960704648889 is a `hidden beast` number, since 9 + 3 + 9 + 6 + 0 + 70 + 464 + 8 + 8 + 89 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 82275875066025 + 11684829582864 = 9070605^2 + 3418308^2 .

It is not a de Polignac number, because 93960704648889 - 2²⁵ = 93960671094457 is a prime.

It is a super-2 number, since 2×93960704648889² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (93960704648389) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 14743556307 + ... + 14743562679.

Almost surely, 2^{93960704648889} is an apocalyptic number.

93960704648889 is the 9693333-rd square number.

93960704648889 is the 4846667-th centered octagonal number.

It is an amenable number.

93960704648889 is a deficient number, since it is larger than the sum of its proper divisors (58120556194194).

93960704648889 is an frugal number, since it uses more digits than its factorization.

93960704648889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12810 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

93960704648889 divided by its sum of digits (81) gives a square (1160008699369 = 1077037²).

The spelling of 93960704648889 in words is "ninety-three trillion, nine hundred sixty billion, seven hundred four million, six hundred forty-eight thousand, eight hundred eighty-nine".