93385106978409 has 49 divisors (see below), whose sum is σ = 142013804758861. Its totient is φ = 61379882521020.

The previous prime is 93385106978407. The next prime is 93385106978411. The reversal of 93385106978409 is 90487960158339.

The square root of 93385106978409 is 9663597.

The cubic root of 93385106978409 is 45369.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

93385106978409 is a `hidden beast` number, since 9 + 3 + 3 + 8 + 510 + 69 + 7 + 8 + 40 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (93385106978407) and next prime (93385106978411).

It is not a de Polignac number, because 93385106978409 - 2¹ = 93385106978407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93385106978407) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 1315283196844 + ... + 1315283196914.

Almost surely, 2^{93385106978409} is an apocalyptic number.

93385106978409 is the 9663597-th square number.

93385106978409 is the 4831799-th centered octagonal number.

It is an amenable number.

93385106978409 is a deficient number, since it is larger than the sum of its proper divisors (48628697780452).

93385106978409 is an frugal number, since it uses more digits than its factorization.

93385106978409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 93385106978409 in words is "ninety-three trillion, three hundred eighty-five billion, one hundred six million, nine hundred seventy-eight thousand, four hundred nine".