198529983072 has 48 divisors (see below), whose sum is σ = 579045786480. Its totient is φ = 66176660736.

The previous prime is 198529983037. The next prime is 198529983073. The reversal of 198529983072 is 270389925891.

198529983072 is a `hidden beast` number, since 1 + 9 + 8 + 529 + 9 + 8 + 30 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198529983073) 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 7 ways as a sum of consecutive naturals, for example, 114889173 + ... + 114890900.

It is an arithmetic number, because the mean of its divisors is an integer number (12063453885).

Almost surely, 2^198529983072 is an apocalyptic number.

198529983072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198529983072 is an abundant number, since it is smaller than the sum of its proper divisors (380515803408).

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

198529983072 is a wasteful number, since it uses less digits than its factorization.

198529983072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229780092 (or 229780078 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 198529983072 in words is "one hundred ninety-eight billion, five hundred twenty-nine million, nine hundred eighty-three thousand, seventy-two".