198746279424 has 1280 divisors, whose sum is σ = 799491686400. Its totient is φ = 47178547200.

The previous prime is 198746279419. The next prime is 198746279437. The reversal of 198746279424 is 424972647891.

198746279424 is a `hidden beast` number, since 1 + 9 + 87 + 4 + 62 + 79 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 626959714 + ... + 626960030.

It is an arithmetic number, because the mean of its divisors is an integer number (624602880).

Almost surely, 2^198746279424 is an apocalyptic number.

198746279424 is a gapful number since it is divisible by the number (14) 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 198746279424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399745843200).

198746279424 is an abundant number, since it is smaller than the sum of its proper divisors (600745406976).

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

198746279424 is a wasteful number, since it uses less digits than its factorization.

198746279424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 390 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 198746279424 in words is "one hundred ninety-eight billion, seven hundred forty-six million, two hundred seventy-nine thousand, four hundred twenty-four".