198851612256 has 576 divisors, whose sum is σ = 678907547136. Its totient is φ = 56659046400.

The previous prime is 198851612221. The next prime is 198851612261. The reversal of 198851612256 is 652216158891.

198851612256 is a `hidden beast` number, since 1 + 98 + 8 + 516 + 12 + 25 + 6 = 666.

198851612256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120006180 + ... + 120007836.

It is an arithmetic number, because the mean of its divisors is an integer number (1178658936).

Almost surely, 2^198851612256 is an apocalyptic number.

198851612256 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 198851612256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339453773568).

198851612256 is an abundant number, since it is smaller than the sum of its proper divisors (480055934880).

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

198851612256 is a wasteful number, since it uses less digits than its factorization.

198851612256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1757 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 198851612256 in words is "one hundred ninety-eight billion, eight hundred fifty-one million, six hundred twelve thousand, two hundred fifty-six".