9268963344256 has 1024 divisors, whose sum is σ = 25685434368000. Its totient is φ = 3225135513600.

The previous prime is 9268963344211. The next prime is 9268963344269. The reversal of 9268963344256 is 6524433698629.

It is a super-2 number, since 2×9268963344256² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9268963344191 and 9268963344200.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 40475822350 + ... + 40475822578.

It is an arithmetic number, because the mean of its divisors is an integer number (25083432000).

Almost surely, 2^{9268963344256} 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 9268963344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12842717184000).

9268963344256 is an abundant number, since it is smaller than the sum of its proper divisors (16416471023744).

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

9268963344256 is a wasteful number, since it uses less digits than its factorization.

9268963344256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 67.

The spelling of 9268963344256 in words is "nine trillion, two hundred sixty-eight billion, nine hundred sixty-three million, three hundred forty-four thousand, two hundred fifty-six".