198567112118400 has 576 divisors, whose sum is σ = 748246644774720. Its totient is φ = 50038759710720.

The previous prime is 198567112118359. The next prime is 198567112118477. The reversal of 198567112118400 is 4811211765891.

198567112118400 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 6 + 7 + 11 + 211 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×198567112118400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53173362 + ... + 56785038.

It is an arithmetic number, because the mean of its divisors is an integer number (1299039313845).

Almost surely, 2^{198567112118400} is an apocalyptic number.

198567112118400 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 198567112118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374123322387360).

198567112118400 is an abundant number, since it is smaller than the sum of its proper divisors (549679532656320).

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

198567112118400 is a wasteful number, since it uses less digits than its factorization.

198567112118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611813 (or 3611793 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 198567112118400 in words is "one hundred ninety-eight trillion, five hundred sixty-seven billion, one hundred twelve million, one hundred eighteen thousand, four hundred".