198409894105824 has 480 divisors, whose sum is σ = 616743217069056. Its totient is φ = 62489782333440.

The previous prime is 198409894105817. The next prime is 198409894105853. The reversal of 198409894105824 is 428501498904891.

198409894105824 is a `hidden beast` number, since 1 + 9 + 8 + 40 + 98 + 9 + 410 + 5 + 82 + 4 = 666.

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 79 ways as a sum of consecutive naturals, for example, 608181919 + ... + 608508065.

Almost surely, 2^{198409894105824} 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 198409894105824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308371608534528).

198409894105824 is an abundant number, since it is smaller than the sum of its proper divisors (418333322963232).

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

198409894105824 is a wasteful number, since it uses less digits than its factorization.

198409894105824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326380 (or 326363 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 198409894105824 in words is "one hundred ninety-eight trillion, four hundred nine billion, eight hundred ninety-four million, one hundred five thousand, eight hundred twenty-four".