16791399319761 has 24 divisors (see below), whose sum is σ = 26484398085600. Its totient is φ = 10166904340800.

The previous prime is 16791399319729. The next prime is 16791399319771.

16791399319761 is a `hidden beast` number, since 1 + 6 + 7 + 91 + 399 + 3 + 1 + 97 + 61 = 666.

16791399319761 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16791399319761 - 2⁵ = 16791399319729 is a prime.

It is a super-2 number, since 2×16791399319761² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16791399319761.

It is not an unprimeable number, because it can be changed into a prime (16791399319771) 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, 80739855 + ... + 80947556.

It is an arithmetic number, because the mean of its divisors is an integer number (1103516586900).

Almost surely, 2^{16791399319761} is an apocalyptic number.

16791399319761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16791399319761 is a deficient number, since it is larger than the sum of its proper divisors (9692998765839).

16791399319761 is a wasteful number, since it uses less digits than its factorization.

16791399319761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161688477 (or 161688474 counting only the distinct ones).

The product of its digits is 104162436, while the sum is 72.

The spelling of 16791399319761 in words is "sixteen trillion, seven hundred ninety-one billion, three hundred ninety-nine million, three hundred nineteen thousand, seven hundred sixty-one".