198429352128 has 1344 divisors, whose sum is σ = 765446922240. Its totient is φ = 49662885888.

The previous prime is 198429352091. The next prime is 198429352157. The reversal of 198429352128 is 821253924891.

198429352128 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 2 + 93 + 521 + 28 = 666.

198429352128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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

Its product of digits (2488320) is a multiple of the sum of its prime factors (216).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2045663376 + ... + 2045663472.

It is an arithmetic number, because the mean of its divisors is an integer number (569528960).

Almost surely, 2^198429352128 is an apocalyptic number.

198429352128 is a gapful number since it is divisible by the number (18) 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 198429352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382723461120).

198429352128 is an abundant number, since it is smaller than the sum of its proper divisors (567017570112).

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

198429352128 is a wasteful number, since it uses less digits than its factorization.

198429352128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

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

The spelling of 198429352128 in words is "one hundred ninety-eight billion, four hundred twenty-nine million, three hundred fifty-two thousand, one hundred twenty-eight".