198399287623680 has 2688 divisors, whose sum is σ = 845909511713280. Its totient is φ = 44397043384320.

The previous prime is 198399287623573. The next prime is 198399287623681. The reversal of 198399287623680 is 86326782993891.

198399287623680 is a `hidden beast` number, since 1 + 9 + 8 + 39 + 92 + 87 + 62 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 198399287623680.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 82368 × 31680 × 76032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198399287623681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15261483663354 + ... + 15261483663366.

It is an arithmetic number, because the mean of its divisors is an integer number (314698479060).

Almost surely, 2^{198399287623680} is an apocalyptic number.

198399287623680 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 198399287623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422954755856640).

198399287623680 is an abundant number, since it is smaller than the sum of its proper divisors (647510224089600).

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

198399287623680 is an frugal number, since it uses more digits than its factorization.

198399287623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 198399287623680 in words is "one hundred ninety-eight trillion, three hundred ninety-nine billion, two hundred eighty-seven million, six hundred twenty-three thousand, six hundred eighty".