9134885760 has 1024 divisors, whose sum is σ = 40303872000. Its totient is φ = 1734082560.

The previous prime is 9134885743. The next prime is 9134885777. The reversal of 9134885760 is 675884319.

It is an interprime number because it is at equal distance from previous prime (9134885743) and next prime (9134885777).

It is a super-2 number, since 2×9134885760² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94174032 + ... + 94174128.

It is an arithmetic number, because the mean of its divisors is an integer number (39359250).

Almost surely, 2^9134885760 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 9134885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20151936000).

9134885760 is an abundant number, since it is smaller than the sum of its proper divisors (31168986240).

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

9134885760 is a wasteful number, since it uses less digits than its factorization.

9134885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 9134885760 is about 95576.5962984663. The cubic root of 9134885760 is about 2090.4239549589.

The spelling of 9134885760 in words is "nine billion, one hundred thirty-four million, eight hundred eighty-five thousand, seven hundred sixty".