3312141565041 has 9 divisors (see below), whose sum is σ = 4784212369209. Its totient is φ = 2208090736836.

The previous prime is 3312141564967. The next prime is 3312141565087. The reversal of 3312141565041 is 1405651412133.

The square root of 3312141565041 is 1819929.

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

3312141565041 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 141 + 5 + 6 + 504 + 1 = 666.

3312141565041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3312141565041 - 2¹³ = 3312141556849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3312141564987 and 3312141565005.

It is not an unprimeable number, because it can be changed into a prime (3312141565091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5156466 + ... + 5763108.

Almost surely, 2^{3312141565041} is an apocalyptic number.

3312141565041 is the 1819929-th square number.

3312141565041 is the 909965-th centered octagonal number.

It is an amenable number.

3312141565041 is a deficient number, since it is larger than the sum of its proper divisors (1472070804168).

3312141565041 is an frugal number, since it uses more digits than its factorization.

3312141565041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213292 (or 606646 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 3312141565041 by its sum of digits (36), we get a square (119237096341476 = 10919574²).

Adding to 3312141565041 its reverse (1405651412133), we get a palindrome (4717792977174).

The spelling of 3312141565041 in words is "three trillion, three hundred twelve billion, one hundred forty-one million, five hundred sixty-five thousand, forty-one".