96225047774856 has 640 divisors, whose sum is σ = 371652390869760. Its totient is φ = 22447395993600.

The previous prime is 96225047774839. The next prime is 96225047774857. The reversal of 96225047774856 is 65847774052269.

96225047774856 is a `hidden beast` number, since 9 + 6 + 2 + 2 + 5 + 0 + 477 + 74 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (96225047774857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21995286 + ... + 26004666.

It is an arithmetic number, because the mean of its divisors is an integer number (580706860734).

Almost surely, 2^{96225047774856} 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 96225047774856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185826195434880).

96225047774856 is an abundant number, since it is smaller than the sum of its proper divisors (275427343094904).

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

96225047774856 is a wasteful number, since it uses less digits than its factorization.

96225047774856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009467 (or 4009454 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 96225047774856 in words is "ninety-six trillion, two hundred twenty-five billion, forty-seven million, seven hundred seventy-four thousand, eight hundred fifty-six".