198228840264 has 384 divisors, whose sum is σ = 709756320000. Its totient is φ = 49527023616.

The previous prime is 198228840233. The next prime is 198228840301. The reversal of 198228840264 is 462048822891.

198228840264 is a `hidden beast` number, since 1 + 9 + 8 + 228 + 8 + 402 + 6 + 4 = 666.

It is a super-2 number, since 2×198228840264² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 198228840264.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6083664 + ... + 6116160.

It is an arithmetic number, because the mean of its divisors is an integer number (1848323750).

Almost surely, 2^198228840264 is an apocalyptic number.

198228840264 is a gapful number since it is divisible by the number (14) 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 198228840264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354878160000).

198228840264 is an abundant number, since it is smaller than the sum of its proper divisors (511527479736).

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

198228840264 is a wasteful number, since it uses less digits than its factorization.

198228840264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32562 (or 32541 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 198228840264 in words is "one hundred ninety-eight billion, two hundred twenty-eight million, eight hundred forty thousand, two hundred sixty-four".