198385302888144 has 240 divisors, whose sum is σ = 587803633784640. Its totient is φ = 64754646220800.

The previous prime is 198385302888121. The next prime is 198385302888161. The reversal of 198385302888144 is 441888203583891.

198385302888144 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 8 + 530 + 2 + 8 + 8 + 81 + 4 + 4 = 666.

198385302888144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×198385302888144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57271194 + ... + 60636294.

It is an arithmetic number, because the mean of its divisors is an integer number (2449181807436).

Almost surely, 2^{198385302888144} 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 198385302888144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293901816892320).

198385302888144 is an abundant number, since it is smaller than the sum of its proper divisors (389418330896496).

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

198385302888144 is a wasteful number, since it uses less digits than its factorization.

198385302888144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365440 (or 3365422 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 198385302888144 in words is "one hundred ninety-eight trillion, three hundred eighty-five billion, three hundred two million, eight hundred eighty-eight thousand, one hundred forty-four".