9198435072 has 144 divisors (see below), whose sum is σ = 26758674432. Its totient is φ = 2792570880.

The previous prime is 9198435053. The next prime is 9198435079. The reversal of 9198435072 is 2705348919.

It is a super-2 number, since 2×9198435072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9198435079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393373 + ... + 416099.

It is an arithmetic number, because the mean of its divisors is an integer number (185824128).

Almost surely, 2^9198435072 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 9198435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13379337216).

9198435072 is an abundant number, since it is smaller than the sum of its proper divisors (17560239360).

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

9198435072 is a wasteful number, since it uses less digits than its factorization.

9198435072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22794 (or 22780 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 9198435072 is about 95908.4723681907. The cubic root of 9198435072 is about 2095.2602910035.

The spelling of 9198435072 in words is "nine billion, one hundred ninety-eight million, four hundred thirty-five thousand, seventy-two".