10716132725649 has 24 divisors (see below), whose sum is σ = 16669926884520. Its totient is φ = 6594390081792.

The previous prime is 10716132725647. The next prime is 10716132725663. The reversal of 10716132725649 is 94652723161701.

10716132725649 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 6 + 1 + 3 + 2 + 72 + 564 + 9 = 666.

10716132725649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 604400514624 + 10111732211025 = 777432^2 + 3179895^2 .

It is not a de Polignac number, because 10716132725649 - 2¹ = 10716132725647 is a prime.

It is a super-2 number, since 2×10716132725649² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10716132725595 and 10716132725604.

It is not an unprimeable number, because it can be changed into a prime (10716132725647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4103397 + ... + 6186285.

It is an arithmetic number, because the mean of its divisors is an integer number (694580286855).

Almost surely, 2^{10716132725649} is an apocalyptic number.

It is an amenable number.

10716132725649 is a deficient number, since it is larger than the sum of its proper divisors (5953794158871).

10716132725649 is a wasteful number, since it uses less digits than its factorization.

10716132725649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126881 (or 2126878 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 10716132725649 in words is "ten trillion, seven hundred sixteen billion, one hundred thirty-two million, seven hundred twenty-five thousand, six hundred forty-nine".