43668042961 has 9 divisors (see below), whose sum is σ = 44126007793. Its totient is φ = 43214789200.

The previous prime is 43668042911. The next prime is 43668042973. The reversal of 43668042961 is 16924086634.

The square root of 43668042961 is 208969.

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 1855972561 + 41812070400 = 43081^2 + 204480^2 .

It is not a de Polignac number, because 43668042961 - 2¹⁵ = 43668010193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43668042911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21104835 + ... + 21106903.

Almost surely, 2^43668042961 is an apocalyptic number.

43668042961 is the 208969-th square number.

43668042961 is the 104485-th centered octagonal number.

It is an amenable number.

43668042961 is a deficient number, since it is larger than the sum of its proper divisors (457964832).

43668042961 is an frugal number, since it uses more digits than its factorization.

43668042961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 43668042961 by its sum of digits (49), we get a square (2139734105089 = 1462783²).

The spelling of 43668042961 in words is "forty-three billion, six hundred sixty-eight million, forty-two thousand, nine hundred sixty-one".