198384145920 has 320 divisors, whose sum is σ = 714348296640. Its totient is φ = 52176420864.

The previous prime is 198384145877. The next prime is 198384145933. The reversal of 198384145920 is 29541483891.

It is a happy number.

198384145920 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 8 + 41 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5026102 + ... + 5065418.

It is an arithmetic number, because the mean of its divisors is an integer number (2232338427).

Almost surely, 2^198384145920 is an apocalyptic number.

198384145920 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 198384145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357174148320).

198384145920 is an abundant number, since it is smaller than the sum of its proper divisors (515964150720).

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

198384145920 is an equidigital number, since it uses as much as digits as its factorization.

198384145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39422 (or 39400 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 198384145920 in words is "one hundred ninety-eight billion, three hundred eighty-four million, one hundred forty-five thousand, nine hundred twenty".