9228242604672 has 768 divisors, whose sum is σ = 35220895718400. Its totient is φ = 2355294412800.

The previous prime is 9228242604671. The next prime is 9228242604697. The reversal of 9228242604672 is 2764062428229.

9228242604672 is a `hidden beast` number, since 9 + 2 + 2 + 8 + 24 + 2 + 604 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9228242604671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68178022 + ... + 68313242.

It is an arithmetic number, because the mean of its divisors is an integer number (45860541300).

Almost surely, 2^{9228242604672} 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 9228242604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17610447859200).

9228242604672 is an abundant number, since it is smaller than the sum of its proper divisors (25992653113728).

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

9228242604672 is a wasteful number, since it uses less digits than its factorization.

9228242604672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135302 (or 135277 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 9228242604672 in words is "nine trillion, two hundred twenty-eight billion, two hundred forty-two million, six hundred four thousand, six hundred seventy-two".