968465686564869 has 32 divisors (see below), whose sum is σ = 1331159666903040. Its totient is φ = 625840752110400.

The previous prime is 968465686564667. The next prime is 968465686564907.

968465686564869 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 968465686564869 - 2¹⁷ = 968465686433797 is a prime.

It is a super-2 number, since 2×968465686564869² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968465646564869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57399714 + ... + 72330204.

It is an arithmetic number, because the mean of its divisors is an integer number (41598739590720).

Almost surely, 2^{968465686564869} is an apocalyptic number.

It is an amenable number.

968465686564869 is a deficient number, since it is larger than the sum of its proper divisors (362693980338171).

968465686564869 is a wasteful number, since it uses less digits than its factorization.

968465686564869 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14932721.

The product of its digits is 773967052800, while the sum is 96.

The spelling of 968465686564869 in words is "nine hundred sixty-eight trillion, four hundred sixty-five billion, six hundred eighty-six million, five hundred sixty-four thousand, eight hundred sixty-nine".