17838129637441 has 3 divisors (see below), whose sum is σ = 17838133860963. Its totient is φ = 17838125413920.

The previous prime is 17838129637351. The next prime is 17838129637463. The reversal of 17838129637441 is 14473692183871.

The square root of 17838129637441 is 4223521.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 5592889175041 + 12245240462400 = 2364929^2 + 3499320^2 .

It is not a de Polignac number, because 17838129637441 - 2⁷ = 17838129637313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17838129667441) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2111761 + ... + 6335281.

It is an arithmetic number, because the mean of its divisors is an integer number (5946044620321).

Almost surely, 2^{17838129637441} is an apocalyptic number.

17838129637441 is the 4223521-st square number.

17838129637441 is the 2111761-st centered octagonal number.

It is an amenable number.

17838129637441 is a deficient number, since it is larger than the sum of its proper divisors (4223522).

17838129637441 is an frugal number, since it uses more digits than its factorization.

17838129637441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8447042 (or 4223521 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 64.

The spelling of 17838129637441 in words is "seventeen trillion, eight hundred thirty-eight billion, one hundred twenty-nine million, six hundred thirty-seven thousand, four hundred forty-one".