9114457608256 has 945 divisors, whose sum is σ = 25946735125857. Its totient is φ = 3164894853120.

The previous prime is 9114457608251. The next prime is 9114457608259. The reversal of 9114457608256 is 6528067544119.

The square root of 9114457608256 is 3019016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 9107020270656 + 7437337600 = 3017784^2 + 86240^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 9114457608256.

It is not an unprimeable number, because it can be changed into a prime (9114457608251) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 314291641650 + ... + 314291641678.

Almost surely, 2^{9114457608256} is an apocalyptic number.

9114457608256 is the 3019016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9114457608256

9114457608256 is an abundant number, since it is smaller than the sum of its proper divisors (16832277517601).

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

9114457608256 is an equidigital number, since it uses as much as digits as its factorization.

9114457608256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 9114457608256 in words is "nine trillion, one hundred fourteen billion, four hundred fifty-seven million, six hundred eight thousand, two hundred fifty-six".