9012826368 has 864 divisors, whose sum is σ = 35232019200. Its totient is φ = 2248114176.

The previous prime is 9012826351. The next prime is 9012826409. The reversal of 9012826368 is 8636282109.

9012826368 is a `hidden beast` number, since 9 + 0 + 1 + 2 + 8 + 2 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101267668 + ... + 101267756.

It is an arithmetic number, because the mean of its divisors is an integer number (40777800).

Almost surely, 2^9012826368 is an apocalyptic number.

9012826368 is a gapful number since it is divisible by the number (98) 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 9012826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616009600).

9012826368 is an abundant number, since it is smaller than the sum of its proper divisors (26219192832).

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

9012826368 is a wasteful number, since it uses less digits than its factorization.

9012826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9012826368 is about 94935.9066317903. The cubic root of 9012826368 is about 2081.0714992110.

The spelling of 9012826368 in words is "nine billion, twelve million, eight hundred twenty-six thousand, three hundred sixty-eight".