10742691611817 has 24 divisors (see below), whose sum is σ = 17015586932448. Its totient is φ = 6476987865600.

The previous prime is 10742691611809. The next prime is 10742691611833. The reversal of 10742691611817 is 71811619624701.

10742691611817 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 2 + 6 + 9 + 1 + 611 + 8 + 17 = 666.

It is not a de Polignac number, because 10742691611817 - 2³ = 10742691611809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10742691611807) 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 23 ways as a sum of consecutive naturals, for example, 281100159 + ... + 281138372.

It is an arithmetic number, because the mean of its divisors is an integer number (708982788852).

Almost surely, 2^{10742691611817} is an apocalyptic number.

It is an amenable number.

10742691611817 is a deficient number, since it is larger than the sum of its proper divisors (6272895320631).

10742691611817 is a wasteful number, since it uses less digits than its factorization.

10742691611817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562238741 (or 562238738 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 10742691611817 in words is "ten trillion, seven hundred forty-two billion, six hundred ninety-one million, six hundred eleven thousand, eight hundred seventeen".