198363319400 has 96 divisors (see below), whose sum is σ = 464070000000. Its totient is φ = 78851646720.

The previous prime is 198363319337. The next prime is 198363319421. The reversal of 198363319400 is 4913363891.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39678101 + ... + 39683099.

It is an arithmetic number, because the mean of its divisors is an integer number (4834062500).

Almost surely, 2^198363319400 is an apocalyptic number.

198363319400 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 198363319400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232035000000).

198363319400 is an abundant number, since it is smaller than the sum of its proper divisors (265706680600).

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

198363319400 is a wasteful number, since it uses less digits than its factorization.

198363319400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6211 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The spelling of 198363319400 in words is "one hundred ninety-eight billion, three hundred sixty-three million, three hundred nineteen thousand, four hundred".