198001407744 has 648 divisors, whose sum is σ = 729390877488. Its totient is φ = 53230141440.

The previous prime is 198001407739. The next prime is 198001407811. The reversal of 198001407744 is 447704100891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

It is a self number, because there is not a number n which added to its sum of digits gives 198001407744.

It is a congruent number.

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, 51817354 + ... + 51821174.

It is an arithmetic number, because the mean of its divisors is an integer number (1125603206).

Almost surely, 2^198001407744 is an apocalyptic number.

198001407744 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 198001407744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364695438744).

198001407744 is an abundant number, since it is smaller than the sum of its proper divisors (531389469744).

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

198001407744 is an equidigital number, since it uses as much as digits as its factorization.

198001407744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 198001407744 in words is "one hundred ninety-eight billion, one million, four hundred seven thousand, seven hundred forty-four".