961756411811328 has 560 divisors, whose sum is σ = 3293097720533280. Its totient is φ = 274756368826368.

The previous prime is 961756411811267. The next prime is 961756411811347. The reversal of 961756411811328 is 823118114657169.

961756411811328 is a `hidden beast` number, since 9 + 6 + 1 + 7 + 5 + 6 + 411 + 81 + 132 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33017130268 + ... + 33017159396.

Almost surely, 2^{961756411811328} 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 961756411811328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646548860266640).

961756411811328 is an abundant number, since it is smaller than the sum of its proper divisors (2331341308721952).

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

961756411811328 is an equidigital number, since it uses as much as digits as its factorization.

961756411811328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41809 (or 41778 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The spelling of 961756411811328 in words is "nine hundred sixty-one trillion, seven hundred fifty-six billion, four hundred eleven million, eight hundred eleven thousand, three hundred twenty-eight".