9122646624 has 768 divisors, whose sum is σ = 34017822720. Its totient is φ = 2070282240.

The previous prime is 9122646623. The next prime is 9122646661. The reversal of 9122646624 is 4266462219.

It is a super-3 number, since 3×9122646624³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9122646623) by changing a digit.

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, 149551554 + ... + 149551614.

It is an arithmetic number, because the mean of its divisors is an integer number (44294040).

Almost surely, 2^9122646624 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 9122646624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008911360).

9122646624 is an abundant number, since it is smaller than the sum of its proper divisors (24895176096).

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

9122646624 is a wasteful number, since it uses less digits than its factorization.

9122646624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 9122646624 is about 95512.5469454145. The cubic root of 9122646624 is about 2089.4899378760.

The spelling of 9122646624 in words is "nine billion, one hundred twenty-two million, six hundred forty-six thousand, six hundred twenty-four".