3288410146561 has 16 divisors (see below), whose sum is σ = 3322311303168. Its totient is φ = 3254649595600.

The previous prime is 3288410146537. The next prime is 3288410146613. The reversal of 3288410146561 is 1656410148823.

It is a cyclic number.

It is not a de Polignac number, because 3288410146561 - 2⁴¹ = 1089386891009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3288410146261) 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 15 ways as a sum of consecutive naturals, for example, 129131916 + ... + 129157378.

It is an arithmetic number, because the mean of its divisors is an integer number (207644456448).

Almost surely, 2^{3288410146561} is an apocalyptic number.

It is an amenable number.

3288410146561 is a deficient number, since it is larger than the sum of its proper divisors (33901156607).

3288410146561 is a wasteful number, since it uses less digits than its factorization.

3288410146561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28172.

The product of its (nonzero) digits is 1105920, while the sum is 49.

The spelling of 3288410146561 in words is "three trillion, two hundred eighty-eight billion, four hundred ten million, one hundred forty-six thousand, five hundred sixty-one".