198149898240 has 1024 divisors, whose sum is σ = 825426432000. Its totient is φ = 44718096384.

The previous prime is 198149898223. The next prime is 198149898263. The reversal of 198149898240 is 42898941891.

198149898240 is a `hidden beast` number, since 19 + 8 + 1 + 498 + 98 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508226521 + ... + 2508226599.

It is an arithmetic number, because the mean of its divisors is an integer number (806080500).

Almost surely, 2^198149898240 is an apocalyptic number.

198149898240 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 198149898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412713216000).

198149898240 is an abundant number, since it is smaller than the sum of its proper divisors (627276533760).

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

198149898240 is an frugal number, since it uses more digits than its factorization.

198149898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 198149898240 in words is "one hundred ninety-eight billion, one hundred forty-nine million, eight hundred ninety-eight thousand, two hundred forty".