10412731188117 has 32 divisors (see below), whose sum is σ = 16334262230400. Its totient is φ = 6533251893504.

The previous prime is 10412731188113. The next prime is 10412731188157. The reversal of 10412731188117 is 71188113721401.

10412731188117 is a `hidden beast` number, since 1 + 0 + 412 + 7 + 3 + 118 + 8 + 117 = 666.

It is not a de Polignac number, because 10412731188117 - 2² = 10412731188113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412731188113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13386718 + ... + 14143184.

It is an arithmetic number, because the mean of its divisors is an integer number (510445694700).

Almost surely, 2^{10412731188117} is an apocalyptic number.

10412731188117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10412731188117 is a deficient number, since it is larger than the sum of its proper divisors (5921531042283).

10412731188117 is a wasteful number, since it uses less digits than its factorization.

10412731188117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786482 (or 786476 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 45.

The spelling of 10412731188117 in words is "ten trillion, four hundred twelve billion, seven hundred thirty-one million, one hundred eighty-eight thousand, one hundred seventeen".