712116566001 has 12 divisors (see below), whose sum is σ = 1029256929012. Its totient is φ = 474447095136.

The previous prime is 712116565981. The next prime is 712116566081. The reversal of 712116566001 is 100665611217.

It is a happy number.

712116566001 is a `hidden beast` number, since 71 + 21 + 1 + 6 + 566 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 216761011776 + 495355554225 = 465576^2 + 703815^2 .

It is not a de Polignac number, because 712116566001 - 2³⁷ = 574677612529 is a prime.

It is a super-2 number, since 2×712116566001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (712116566081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24758346 + ... + 24787091.

It is an arithmetic number, because the mean of its divisors is an integer number (85771410751).

Almost surely, 2^712116566001 is an apocalyptic number.

It is an amenable number.

712116566001 is a deficient number, since it is larger than the sum of its proper divisors (317140363011).

712116566001 is a wasteful number, since it uses less digits than its factorization.

712116566001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49547040 (or 49547037 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 712116566001 in words is "seven hundred twelve billion, one hundred sixteen million, five hundred sixty-six thousand, one".