198120514032 has 200 divisors, whose sum is σ = 663632921600. Its totient is φ = 55889129088.

The previous prime is 198120514001. The next prime is 198120514037. The reversal of 198120514032 is 230415021891.

198120514032 is a `hidden beast` number, since 1 + 98 + 1 + 20 + 514 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198120514037) 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 39 ways as a sum of consecutive naturals, for example, 578469 + ... + 854907.

It is an arithmetic number, because the mean of its divisors is an integer number (3318164608).

Almost surely, 2^198120514032 is an apocalyptic number.

198120514032 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 198120514032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331816460800).

198120514032 is an abundant number, since it is smaller than the sum of its proper divisors (465512407568).

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

198120514032 is a wasteful number, since it uses less digits than its factorization.

198120514032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276545 (or 276530 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 198120514032 in words is "one hundred ninety-eight billion, one hundred twenty million, five hundred fourteen thousand, thirty-two".