716514415617 has 128 divisors (see below), whose sum is σ = 1417217679360. Its totient is φ = 309312368640.

The previous prime is 716514415607. The next prime is 716514415759.

716514415617 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 716514415617 - 2⁷ = 716514415489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (716514415607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 869059 + ... + 1479287.

It is an arithmetic number, because the mean of its divisors is an integer number (11072013120).

Almost surely, 2^716514415617 is an apocalyptic number.

716514415617 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

716514415617 is a deficient number, since it is larger than the sum of its proper divisors (700703263743).

716514415617 is a wasteful number, since it uses less digits than its factorization.

716514415617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610303.

The product of its digits is 705600, while the sum is 48.

The spelling of 716514415617 in words is "seven hundred sixteen billion, five hundred fourteen million, four hundred fifteen thousand, six hundred seventeen".