198434514432 has 960 divisors, whose sum is σ = 742410054144. Its totient is φ = 46324776960.

The previous prime is 198434514431. The next prime is 198434514451. The reversal of 198434514432 is 234415434891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198434514431) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 323710158 + ... + 323710770.

Almost surely, 2^198434514432 is an apocalyptic number.

198434514432 is a gapful number since it is divisible by the number (12) 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 198434514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371205027072).

198434514432 is an abundant number, since it is smaller than the sum of its proper divisors (543975539712).

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

198434514432 is a wasteful number, since it uses less digits than its factorization.

198434514432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 676 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 198434514432 in words is "one hundred ninety-eight billion, four hundred thirty-four million, five hundred fourteen thousand, four hundred thirty-two".