198230642046720 has 1008 divisors, whose sum is σ = 719560640816640. Its totient is φ = 52295297531904.

The previous prime is 198230642046719. The next prime is 198230642046721. The reversal of 198230642046720 is 27640246032891.

It is a happy number.

198230642046720 is a `hidden beast` number, since 1 + 9 + 82 + 3 + 0 + 64 + 20 + 467 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (198230642046719) and next prime (198230642046721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198230642046721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 68853990241 + ... + 68853993119.

It is an arithmetic number, because the mean of its divisors is an integer number (713849842080).

Almost surely, 2^{198230642046720} is an apocalyptic number.

198230642046720 is a gapful number since it is divisible by the number (10) 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 198230642046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359780320408320).

198230642046720 is an abundant number, since it is smaller than the sum of its proper divisors (521329998769920).

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

198230642046720 is an equidigital number, since it uses as much as digits as its factorization.

198230642046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 198230642046720 in words is "one hundred ninety-eight trillion, two hundred thirty billion, six hundred forty-two million, forty-six thousand, seven hundred twenty".