198383178240 has 1680 divisors, whose sum is σ = 839758169448. Its totient is φ = 44718096384.

The previous prime is 198383178239. The next prime is 198383178247. The reversal of 198383178240 is 42871383891.

It is a happy number.

198383178240 is a `hidden beast` number, since 1 + 9 + 8 + 383 + 17 + 8 + 240 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 18050459904 + 180332718336 = 134352^2 + 424656^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198383178247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5361707502 + ... + 5361707538.

Almost surely, 2^198383178240 is an apocalyptic number.

198383178240 is a gapful number since it is divisible by the number (10) 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 198383178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419879084724).

198383178240 is an abundant number, since it is smaller than the sum of its proper divisors (641374991208).

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

198383178240 is an equidigital number, since it uses as much as digits as its factorization.

198383178240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 198383178240 in words is "one hundred ninety-eight billion, three hundred eighty-three million, one hundred seventy-eight thousand, two hundred forty".