712142816913 has 48 divisors (see below), whose sum is σ = 1129799052096. Its totient is φ = 428667707520.

The previous prime is 712142816899. The next prime is 712142816927. The reversal of 712142816913 is 319618241217.

712142816913 is a `hidden beast` number, since 7 + 121 + 428 + 16 + 91 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (712142816899) and next prime (712142816927).

It is not a de Polignac number, because 712142816913 - 2²⁰ = 712141768337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (712142814913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41693331 + ... + 41710407.

It is an arithmetic number, because the mean of its divisors is an integer number (23537480252).

Almost surely, 2^712142816913 is an apocalyptic number.

It is an amenable number.

712142816913 is a deficient number, since it is larger than the sum of its proper divisors (417656235183).

712142816913 is a wasteful number, since it uses less digits than its factorization.

712142816913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19934 (or 19931 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 712142816913 in words is "seven hundred twelve billion, one hundred forty-two million, eight hundred sixteen thousand, nine hundred thirteen".