198400319251992 has 448 divisors, whose sum is σ = 660256052924160. Its totient is φ = 55072924358400.

The previous prime is 198400319251987. The next prime is 198400319251993. The reversal of 198400319251992 is 299152913004891.

198400319251992 is a `hidden beast` number, since 1 + 9 + 8 + 400 + 3 + 1 + 92 + 51 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198400319251993) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 108342853 + ... + 110158859.

It is an arithmetic number, because the mean of its divisors is an integer number (1473785832420).

Almost surely, 2^{198400319251992} is an apocalyptic number.

198400319251992 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 198400319251992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330128026462080).

198400319251992 is an abundant number, since it is smaller than the sum of its proper divisors (461855733672168).

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

198400319251992 is a wasteful number, since it uses less digits than its factorization.

198400319251992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816186 (or 1816167 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 198400319251992 in words is "one hundred ninety-eight trillion, four hundred billion, three hundred nineteen million, two hundred fifty-one thousand, nine hundred ninety-two".