968215228992 has 560 divisors, whose sum is σ = 3294682833024. Its totient is φ = 280596096000.

The previous prime is 968215228979. The next prime is 968215229053. The reversal of 968215228992 is 299822512869.

968215228992 is a `hidden beast` number, since 9 + 6 + 8 + 21 + 522 + 89 + 9 + 2 = 666.

968215228992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 158694742 + ... + 158700842.

Almost surely, 2^968215228992 is an apocalyptic number.

968215228992 is a gapful number since it is divisible by the number (92) 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 968215228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647341416512).

968215228992 is an abundant number, since it is smaller than the sum of its proper divisors (2326467604032).

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

968215228992 is a wasteful number, since it uses less digits than its factorization.

968215228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6181 (or 6140 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 968215228992 in words is "nine hundred sixty-eight billion, two hundred fifteen million, two hundred twenty-eight thousand, nine hundred ninety-two".