346825169408641 has 72 divisors (see below), whose sum is σ = 443819362070952. Its totient is φ = 270035235993600.

The previous prime is 346825169408609. The next prime is 346825169408713. The reversal of 346825169408641 is 146804961528643.

It can be written as a sum of positive squares in 4 ways, for example, as 259368931354225 + 87456238054416 = 16104935^2 + 9351804^2 .

It is not a de Polignac number, because 346825169408641 - 2⁵ = 346825169408609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (346825169438641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69074916711 + ... + 69074921731.

It is an arithmetic number, because the mean of its divisors is an integer number (6164157806541).

Almost surely, 2^{346825169408641} is an apocalyptic number.

It is an amenable number.

346825169408641 is a deficient number, since it is larger than the sum of its proper divisors (96994192662311).

346825169408641 is a wasteful number, since it uses less digits than its factorization.

346825169408641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12143 (or 12125 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 67.

The spelling of 346825169408641 in words is "three hundred forty-six trillion, eight hundred twenty-five billion, one hundred sixty-nine million, four hundred eight thousand, six hundred forty-one".