965886956401 has 8 divisors (see below), whose sum is σ = 968835568680. Its totient is φ = 962942698368.

The previous prime is 965886956371. The next prime is 965886956431. The reversal of 965886956401 is 104659688569.

965886956401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (965886956371) and next prime (965886956431).

It can be written as a sum of positive squares in 4 ways, for example, as 244652901376 + 721234055025 = 494624^2 + 849255^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 965886956401 - 2²³ = 965878567793 is a prime.

It is a super-3 number, since 3×965886956401³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (965886956431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643956 + ... + 1531813.

It is an arithmetic number, because the mean of its divisors is an integer number (121104446085).

Almost surely, 2^965886956401 is an apocalyptic number.

It is an amenable number.

965886956401 is a deficient number, since it is larger than the sum of its proper divisors (2948612279).

965886956401 is a wasteful number, since it uses less digits than its factorization.

965886956401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177123.

The product of its (nonzero) digits is 111974400, while the sum is 67.

The spelling of 965886956401 in words is "nine hundred sixty-five billion, eight hundred eighty-six million, nine hundred fifty-six thousand, four hundred one".