10468673794089 has 27 divisors (see below), whose sum is σ = 17590334761623. Its totient is φ = 5982060484512.

The previous prime is 10468673794081. The next prime is 10468673794097. The reversal of 10468673794089 is 98049737686401.

The square root of 10468673794089 is 3235533.

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

10468673794089 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 86 + 73 + 79 + 408 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (10468673794081) and next prime (10468673794097).

It can be written as a sum of positive squares in only one way, i.e., 16436522025 + 10452237272064 = 128205^2 + 3232992^2 .

It is not a de Polignac number, because 10468673794089 - 2³ = 10468673794081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10468673794081) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 67869157 + ... + 68023229.

Almost surely, 2^{10468673794089} is an apocalyptic number.

10468673794089 is the 3235533-rd square number.

10468673794089 is the 1617767-th centered octagonal number.

It is an amenable number.

10468673794089 is a deficient number, since it is larger than the sum of its proper divisors (7121660967534).

10468673794089 is an frugal number, since it uses more digits than its factorization.

10468673794089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308166 (or 154083 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 10468673794089 in words is "ten trillion, four hundred sixty-eight billion, six hundred seventy-three million, seven hundred ninety-four thousand, eighty-nine".