968851917704496 has 480 divisors, whose sum is σ = 2925912121765888. Its totient is φ = 270613363138560.

The previous prime is 968851917704471. The next prime is 968851917704501. The reversal of 968851917704496 is 694407719158869.

It is a super-2 number, since 2×968851917704496² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

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, 167303039361 + ... + 167303045151.

Almost surely, 2^{968851917704496} 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 968851917704496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462956060882944).

968851917704496 is an abundant number, since it is smaller than the sum of its proper divisors (1957060204061392).

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

968851917704496 is a wasteful number, since it uses less digits than its factorization.

968851917704496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6697 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 6584094720, while the sum is 84.

The spelling of 968851917704496 in words is "nine hundred sixty-eight trillion, eight hundred fifty-one billion, nine hundred seventeen million, seven hundred four thousand, four hundred ninety-six".