961624816128 has 480 divisors, whose sum is σ = 2911879034064. Its totient is φ = 305233920000.

The previous prime is 961624816111. The next prime is 961624816147. The reversal of 961624816128 is 821618426169.

961624816128 is a `hidden beast` number, since 9 + 6 + 1 + 624 + 8 + 1 + 6 + 1 + 2 + 8 = 666.

961624816128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 50226188544 + 911398627584 = 224112^2 + 954672^2 .

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

Its product of digits (1990656) is a multiple of the sum of its prime factors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2085953818 + ... + 2085954278.

Almost surely, 2^961624816128 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 961624816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455939517032).

961624816128 is an abundant number, since it is smaller than the sum of its proper divisors (1950254217936).

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

961624816128 is a wasteful number, since it uses less digits than its factorization.

961624816128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 749 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 961624816128 in words is "nine hundred sixty-one billion, six hundred twenty-four million, eight hundred sixteen thousand, one hundred twenty-eight".