9198358560 has 144 divisors (see below), whose sum is σ = 31493157696. Its totient is φ = 2444788224.

The previous prime is 9198358531. The next prime is 9198358573. The reversal of 9198358560 is 658538919.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 9198358497 and 9198358506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431677 + ... + 452483.

It is an arithmetic number, because the mean of its divisors is an integer number (218702484).

Almost surely, 2^9198358560 is an apocalyptic number.

9198358560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9198358560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15746578848).

9198358560 is an abundant number, since it is smaller than the sum of its proper divisors (22294799136).

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

9198358560 is a wasteful number, since it uses less digits than its factorization.

9198358560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21135 (or 21124 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 9198358560 is about 95908.0734870636. The cubic root of 9198358560 is about 2095.2544815733.

The spelling of 9198358560 in words is "nine billion, one hundred ninety-eight million, three hundred fifty-eight thousand, five hundred sixty".