198483874751136 has 1728 divisors, whose sum is σ = 648431896250880. Its totient is φ = 52934658416640.

The previous prime is 198483874751081. The next prime is 198483874751143. The reversal of 198483874751136 is 631157478384891.

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 287 ways as a sum of consecutive naturals, for example, 404244143851 + ... + 404244144341.

It is an arithmetic number, because the mean of its divisors is an integer number (375249939960).

Almost surely, 2^{198483874751136} is an apocalyptic number.

198483874751136 is a gapful number since it is divisible by the number (16) 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 198483874751136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324215948125440).

198483874751136 is an abundant number, since it is smaller than the sum of its proper divisors (449948021499744).

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

198483874751136 is a wasteful number, since it uses less digits than its factorization.

198483874751136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 655 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 75.

The spelling of 198483874751136 in words is "one hundred ninety-eight trillion, four hundred eighty-three billion, eight hundred seventy-four million, seven hundred fifty-one thousand, one hundred thirty-six".