961096733856 has 336 divisors, whose sum is σ = 3412872388800. Its totient is φ = 260145644544.

The previous prime is 961096733851. The next prime is 961096733893. The reversal of 961096733856 is 658337690169.

961096733856 is a `hidden beast` number, since 9 + 610 + 9 + 6 + 7 + 3 + 3 + 8 + 5 + 6 = 666.

961096733856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 961096733793 and 961096733802.

It is not an unprimeable number, because it can be changed into a prime (961096733851) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2947740 + ... + 3257508.

It is an arithmetic number, because the mean of its divisors is an integer number (10157358300).

Almost surely, 2^961096733856 is an apocalyptic number.

961096733856 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 961096733856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706436194400).

961096733856 is an abundant number, since it is smaller than the sum of its proper divisors (2451775654944).

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

961096733856 is a wasteful number, since it uses less digits than its factorization.

961096733856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309823 (or 309800 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 961096733856 in words is "nine hundred sixty-one billion, ninety-six million, seven hundred thirty-three thousand, eight hundred fifty-six".