6198244416 has 420 divisors, whose sum is σ = 23029662348. Its totient is φ = 1633830912.

The previous prime is 6198244397. The next prime is 6198244441. The reversal of 6198244416 is 6144428916.

6198244416 is a `hidden beast` number, since 6 + 198 + 2 + 44 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2292494400 + 3905750016 = 47880^2 + 62496^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3301270 + ... + 3303146.

Almost surely, 2^6198244416 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 6198244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11514831174).

6198244416 is an abundant number, since it is smaller than the sum of its proper divisors (16831417932).

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

6198244416 is a wasteful number, since it uses less digits than its factorization.

6198244416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1902 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 6198244416 is about 78728.9299812972. The cubic root of 6198244416 is about 1836.9171375822.

The spelling of 6198244416 in words is "six billion, one hundred ninety-eight million, two hundred forty-four thousand, four hundred sixteen".