968834814464664 has 384 divisors, whose sum is σ = 3201567047078400. Its totient is φ = 258519375636480.

The previous prime is 968834814464641. The next prime is 968834814464681. The reversal of 968834814464664 is 466464418438869.

968834814464664 is a `hidden beast` number, since 9 + 6 + 8 + 8 + 3 + 4 + 8 + 144 + 6 + 466 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365084412 + ... + 367728564.

It is an arithmetic number, because the mean of its divisors is an integer number (8337414185100).

Almost surely, 2^{968834814464664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968834814464664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600783523539200).

968834814464664 is an abundant number, since it is smaller than the sum of its proper divisors (2232732232613736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

968834814464664 is a wasteful number, since it uses less digits than its factorization.

968834814464664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644735 (or 2644728 counting only the distinct ones).

The product of its digits is 18345885696, while the sum is 81.

The spelling of 968834814464664 in words is "nine hundred sixty-eight trillion, eight hundred thirty-four billion, eight hundred fourteen million, four hundred sixty-four thousand, six hundred sixty-four".