116517323715611 has 48 divisors (see below), whose sum is σ = 144640044552960. Its totient is φ = 91904500920960.

The previous prime is 116517323715547. The next prime is 116517323715691.

116517323715611 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 116517323715611 - 2⁶ = 116517323715547 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 116517323715611.

It is not an unprimeable number, because it can be changed into a prime (116517323715691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005606821 + ... + 1005722681.

It is an arithmetic number, because the mean of its divisors is an integer number (3013334261520).

Almost surely, 2^{116517323715611} is an apocalyptic number.

116517323715611 is a deficient number, since it is larger than the sum of its proper divisors (28122720837349).

116517323715611 is a wasteful number, since it uses less digits than its factorization.

116517323715611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118516 (or 118503 counting only the distinct ones).

The product of its digits is 793800, while the sum is 50.

The spelling of 116517323715611 in words is "one hundred sixteen trillion, five hundred seventeen billion, three hundred twenty-three million, seven hundred fifteen thousand, six hundred eleven".