193838553441 has 135 divisors (see below), whose sum is σ = 324140726217. Its totient is φ = 115386223680.

The previous prime is 193838553401. The next prime is 193838553443. The reversal of 193838553441 is 144355838391.

It is a happy number.

The square root of 193838553441 is 440271.

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

193838553441 is a `hidden beast` number, since 1 + 9 + 3 + 83 + 8 + 553 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5030923041 + 188807630400 = 70929^2 + 434520^2 .

It is a de Polignac number, because none of the positive numbers 2^k-193838553441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (193838553443) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2730120436 + ... + 2730120506.

Almost surely, 2^193838553441 is an apocalyptic number.

193838553441 is the 440271-st square number.

193838553441 is the 220136-th centered octagonal number.

It is an amenable number.

193838553441 is a deficient number, since it is larger than the sum of its proper divisors (130302172776).

193838553441 is an frugal number, since it uses more digits than its factorization.

193838553441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 140 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 193838553441 in words is "one hundred ninety-three billion, eight hundred thirty-eight million, five hundred fifty-three thousand, four hundred forty-one".