198968422705920 has 2304 divisors, whose sum is σ = 887673421824000. Its totient is φ = 41692637675520.

The previous prime is 198968422705909. The next prime is 198968422705957. The reversal of 198968422705920 is 29507224869891.

198968422705920 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 6 + 8 + 4 + 2 + 27 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×198968422705920³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11541752661 + ... + 11541769899.

Almost surely, 2^{198968422705920} is an apocalyptic number.

198968422705920 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 198968422705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443836710912000).

198968422705920 is an abundant number, since it is smaller than the sum of its proper divisors (688704999118080).

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

198968422705920 is an equidigital number, since it uses as much as digits as its factorization.

198968422705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17338 (or 17306 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 198968422705920 in words is "one hundred ninety-eight trillion, nine hundred sixty-eight billion, four hundred twenty-two million, seven hundred five thousand, nine hundred twenty".