198413073069120 has 4032 divisors, whose sum is σ = 914381112153600. Its totient is φ = 38524916072448.

The previous prime is 198413073069073. The next prime is 198413073069131. The reversal of 198413073069120 is 21960370314891.

198413073069120 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 1 + 307 + 306 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 716292682422 + ... + 716292682698.

It is an arithmetic number, because the mean of its divisors is an integer number (226781029800).

Almost surely, 2^{198413073069120} is an apocalyptic number.

198413073069120 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 198413073069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457190556076800).

198413073069120 is an abundant number, since it is smaller than the sum of its proper divisors (715968039084480).

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

198413073069120 is a wasteful number, since it uses less digits than its factorization.

198413073069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 198413073069120 in words is "one hundred ninety-eight trillion, four hundred thirteen billion, seventy-three million, sixty-nine thousand, one hundred twenty".