199901841408001 has 8 divisors (see below), whose sum is σ = 200022371951400. Its totient is φ = 199781315032320.

The previous prime is 199901841407999. The next prime is 199901841408007. The reversal of 199901841408001 is 100804148109991.

It can be written as a sum of positive squares in 4 ways, for example, as 74269665460225 + 125632175947776 = 8617985^2 + 11208576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 199901841408001 - 2¹ = 199901841407999 is a prime.

It is a super-2 number, since 2×199901841408001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199901841408007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97735545 + ... + 99759913.

It is an arithmetic number, because the mean of its divisors is an integer number (25002796493925).

Almost surely, 2^{199901841408001} is an apocalyptic number.

It is an amenable number.

199901841408001 is a deficient number, since it is larger than the sum of its proper divisors (120530543399).

199901841408001 is a wasteful number, since it uses less digits than its factorization.

199901841408001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083859.

The product of its (nonzero) digits is 746496, while the sum is 55.

The spelling of 199901841408001 in words is "one hundred ninety-nine trillion, nine hundred one billion, eight hundred forty-one million, four hundred eight thousand, one".