198042408974592 has 2592 divisors, whose sum is σ = 769583961036800. Its totient is φ = 50486838312960.

The previous prime is 198042408974591. The next prime is 198042408974593. The reversal of 198042408974592 is 295479804240891.

198042408974592 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 4 + 2 + 408 + 97 + 45 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (198042408974591) and next prime (198042408974593).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 198042408974592.

It is not an unprimeable number, because it can be changed into a prime (198042408974591) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 232171639638 + ... + 232171640490.

Almost surely, 2^{198042408974592} is an apocalyptic number.

198042408974592 is a gapful number since it is divisible by the number (12) 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 198042408974592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384791980518400).

198042408974592 is an abundant number, since it is smaller than the sum of its proper divisors (571541552062208).

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

198042408974592 is an frugal number, since it uses more digits than its factorization.

198042408974592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 198042408974592 in words is "one hundred ninety-eight trillion, forty-two billion, four hundred eight million, nine hundred seventy-four thousand, five hundred ninety-two".