9298122624 has 256 divisors, whose sum is σ = 31538073600. Its totient is φ = 2641766400.

The previous prime is 9298122599. The next prime is 9298122649. The reversal of 9298122624 is 4262218929.

9298122624 is a `hidden beast` number, since 9 + 2 + 9 + 8 + 12 + 2 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (9298122599) and next prime (9298122649).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9298122624.

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 31 ways as a sum of consecutive naturals, for example, 4764849 + ... + 4766799.

It is an arithmetic number, because the mean of its divisors is an integer number (123195600).

Almost surely, 2^9298122624 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 9298122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15769036800).

9298122624 is an abundant number, since it is smaller than the sum of its proper divisors (22239950976).

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

9298122624 is a wasteful number, since it uses less digits than its factorization.

9298122624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2160 counting only the distinct ones).

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

The square root of 9298122624 is about 96426.7733775221. The cubic root of 9298122624 is about 2102.8022019864.

The spelling of 9298122624 in words is "nine billion, two hundred ninety-eight million, one hundred twenty-two thousand, six hundred twenty-four".