198066156336 has 160 divisors (see below), whose sum is σ = 598718624000. Its totient is φ = 62518666752.

The previous prime is 198066156329. The next prime is 198066156361. The reversal of 198066156336 is 633651660891.

198066156336 is a `hidden beast` number, since 19 + 8 + 0 + 6 + 61 + 563 + 3 + 6 = 666.

198066156336 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 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 31 ways as a sum of consecutive naturals, for example, 24775956 + ... + 24783948.

It is an arithmetic number, because the mean of its divisors is an integer number (3741991400).

Almost surely, 2^198066156336 is an apocalyptic number.

198066156336 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 198066156336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299359312000).

198066156336 is an abundant number, since it is smaller than the sum of its proper divisors (400652467664).

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

198066156336 is a wasteful number, since it uses less digits than its factorization.

198066156336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11048 (or 11036 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 198066156336 in words is "one hundred ninety-eight billion, sixty-six million, one hundred fifty-six thousand, three hundred thirty-six".