42205044964681 has 9 divisors (see below), whose sum is σ = 42320928434421. Its totient is φ = 42089477996832.

The previous prime is 42205044964673. The next prime is 42205044964721. The reversal of 42205044964681 is 18646944050224.

The square root of 42205044964681 is 6496541.

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 12905991585081 + 29299053379600 = 3592491^2 + 5412860^2 .

It is not a de Polignac number, because 42205044964681 - 2³ = 42205044964673 is a prime.

It is a super-2 number, since 2×42205044964681² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42205044964601) 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, 2423201085 + ... + 2423218501.

Almost surely, 2^{42205044964681} is an apocalyptic number.

42205044964681 is the 6496541-st square number.

42205044964681 is the 3248271-st centered octagonal number.

It is an amenable number.

42205044964681 is a deficient number, since it is larger than the sum of its proper divisors (115883469740).

42205044964681 is an frugal number, since it uses more digits than its factorization.

42205044964681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35580 (or 17790 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 55.

The spelling of 42205044964681 in words is "forty-two trillion, two hundred five billion, forty-four million, nine hundred sixty-four thousand, six hundred eighty-one".