198351439104 has 288 divisors, whose sum is σ = 687951532800. Its totient is φ = 49234968576.

The previous prime is 198351439093. The next prime is 198351439177. The reversal of 198351439104 is 401934153891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104622 + ... + 1271570.

It is an arithmetic number, because the mean of its divisors is an integer number (2388720600).

Almost surely, 2^198351439104 is an apocalyptic number.

198351439104 is a gapful number since it is divisible by the number (14) 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 198351439104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343975766400).

198351439104 is an abundant number, since it is smaller than the sum of its proper divisors (489600093696).

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

198351439104 is a wasteful number, since it uses less digits than its factorization.

198351439104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167005 (or 166991 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 198351439104 in words is "one hundred ninety-eight billion, three hundred fifty-one million, four hundred thirty-nine thousand, one hundred four".