9314297856 has 288 divisors, whose sum is σ = 28455598080. Its totient is φ = 2929360896.

The previous prime is 9314297821. The next prime is 9314297887. The reversal of 9314297856 is 6587924139.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×9314297856³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53839786 + ... + 53839958.

It is an arithmetic number, because the mean of its divisors is an integer number (98804160).

Almost surely, 2^9314297856 is an apocalyptic number.

9314297856 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 9314297856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14227799040).

9314297856 is an abundant number, since it is smaller than the sum of its proper divisors (19141300224).

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

9314297856 is a wasteful number, since it uses less digits than its factorization.

9314297856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 9314297856 is about 96510.6100695670. The cubic root of 9314297856 is about 2104.0208569210.

The spelling of 9314297856 in words is "nine billion, three hundred fourteen million, two hundred ninety-seven thousand, eight hundred fifty-six".