198163430400 has 1056 divisors, whose sum is σ = 745060313088. Its totient is φ = 46124236800.

The previous prime is 198163430371. The next prime is 198163430497. The reversal of 198163430400 is 4034361891.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1923916749 + ... + 1923916851.

Almost surely, 2^198163430400 is an apocalyptic number.

198163430400 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 198163430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372530156544).

198163430400 is an abundant number, since it is smaller than the sum of its proper divisors (546896882688).

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

198163430400 is a wasteful number, since it uses less digits than its factorization.

198163430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 198163430400 in words is "one hundred ninety-eight billion, one hundred sixty-three million, four hundred thirty thousand, four hundred".