968461885536 has 192 divisors, whose sum is σ = 2733865924608. Its totient is φ = 299084341248.

The previous prime is 968461885493. The next prime is 968461885571. The reversal of 968461885536 is 635588164869.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234322126 + ... + 234326258.

It is an arithmetic number, because the mean of its divisors is an integer number (14238885024).

Almost surely, 2^968461885536 is an apocalyptic number.

968461885536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968461885536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366932962304).

968461885536 is an abundant number, since it is smaller than the sum of its proper divisors (1765404039072).

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

968461885536 is a wasteful number, since it uses less digits than its factorization.

968461885536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373 (or 6365 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 69.

The spelling of 968461885536 in words is "nine hundred sixty-eight billion, four hundred sixty-one million, eight hundred eighty-five thousand, five hundred thirty-six".