31838043235441 has 27 divisors (see below), whose sum is σ = 35357899393803. Its totient is φ = 28660395466560.

The previous prime is 31838043235423. The next prime is 31838043235477. The reversal of 31838043235441 is 14453234083813.

The square root of 31838043235441 is 5642521.

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

It can be written as a sum of positive squares in only one way, i.e., 24787403903025 + 7050639332416 = 4978695^2 + 2655304^2 .

It is not a de Polignac number, because 31838043235441 - 2²¹ = 31838041138289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31838043235841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2206218496 + ... + 2206232926.

Almost surely, 2^{31838043235441} is an apocalyptic number.

31838043235441 is the 5642521-st square number.

31838043235441 is the 2821261-st centered octagonal number.

It is an amenable number.

31838043235441 is a deficient number, since it is larger than the sum of its proper divisors (3519856158362).

31838043235441 is an frugal number, since it uses more digits than its factorization.

31838043235441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28942 (or 14471 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

The spelling of 31838043235441 in words is "thirty-one trillion, eight hundred thirty-eight billion, forty-three million, two hundred thirty-five thousand, four hundred forty-one".