968044801152 has 256 divisors, whose sum is σ = 3039027102720. Its totient is φ = 269157765120.

The previous prime is 968044801117. The next prime is 968044801153. The reversal of 968044801152 is 251108440869.

968044801152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×968044801152² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (968044801153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9117523 + ... + 9223085.

It is an arithmetic number, because the mean of its divisors is an integer number (11871199620).

Almost surely, 2^968044801152 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 968044801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519513551360).

968044801152 is an abundant number, since it is smaller than the sum of its proper divisors (2070982301568).

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

968044801152 is a wasteful number, since it uses less digits than its factorization.

968044801152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105771 (or 105759 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 968044801152 in words is "nine hundred sixty-eight billion, forty-four million, eight hundred one thousand, one hundred fifty-two".