9226095264 has 288 divisors, whose sum is σ = 28672056000. Its totient is φ = 2882041344.

The previous prime is 9226095239. The next prime is 9226095301. The reversal of 9226095264 is 4625906229.

9226095264 = 429³ + 430³ + ... + 515³.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116785977 + ... + 116786055.

It is an arithmetic number, because the mean of its divisors is an integer number (99555750).

Almost surely, 2^9226095264 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 9226095264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336028000).

9226095264 is an abundant number, since it is smaller than the sum of its proper divisors (19445960736).

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

9226095264 is a wasteful number, since it uses less digits than its factorization.

9226095264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9226095264 is about 96052.5651089027. The cubic root of 9226095264 is about 2097.3583764119.

The spelling of 9226095264 in words is "nine billion, two hundred twenty-six million, ninety-five thousand, two hundred sixty-four".