193593840049 has 9 divisors (see below), whose sum is σ = 196846827489. Its totient is φ = 190393770960.

The previous prime is 193593840043. The next prime is 193593840059. The reversal of 193593840049 is 940048395391.

It is a happy number.

The square root of 193593840049 is 439993.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11462914225 + 182130925824 = 107065^2 + 426768^2 .

It is not a de Polignac number, because 193593840049 - 2¹⁹ = 193593315761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193593840043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26835967 + ... + 26843179.

It is an arithmetic number, because the mean of its divisors is an integer number (21871869721).

Almost surely, 2^193593840049 is an apocalyptic number.

193593840049 is the 439993-rd square number.

193593840049 is the 219997-th centered octagonal number.

It is an amenable number.

193593840049 is a deficient number, since it is larger than the sum of its proper divisors (3252987440).

193593840049 is an frugal number, since it uses more digits than its factorization.

193593840049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14548 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 193593840049 in words is "one hundred ninety-three billion, five hundred ninety-three million, eight hundred forty thousand, forty-nine".