198623141189280 has 768 divisors, whose sum is σ = 757221057331200. Its totient is φ = 48478039695360.

The previous prime is 198623141189267. The next prime is 198623141189293. The reversal of 198623141189280 is 82981141326891.

198623141189280 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 231 + 4 + 118 + 9 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (198623141189267) and next prime (198623141189293).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273771967 + ... + 274496513.

It is an arithmetic number, because the mean of its divisors is an integer number (985964918400).

Almost surely, 2^{198623141189280} is an apocalyptic number.

198623141189280 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 198623141189280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378610528665600).

198623141189280 is an abundant number, since it is smaller than the sum of its proper divisors (558597916141920).

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

198623141189280 is a wasteful number, since it uses less digits than its factorization.

198623141189280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724714 (or 724700 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 198623141189280 in words is "one hundred ninety-eight trillion, six hundred twenty-three billion, one hundred forty-one million, one hundred eighty-nine thousand, two hundred eighty".