904376646673409 has 48 divisors (see below), whose sum is σ = 1152982564347600. Its totient is φ = 703004411805696.

The previous prime is 904376646673387. The next prime is 904376646673421.

904376646673409 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 24182150476225 + 880194496197184 = 4917535^2 + 29668072^2 .

It is not a de Polignac number, because 904376646673409 - 2²⁴ = 904376629896193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (904376646643409) 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 47 ways as a sum of consecutive naturals, for example, 41902304 + ... + 59703905.

It is an arithmetic number, because the mean of its divisors is an integer number (24020470090575).

Almost surely, 2^{904376646673409} is an apocalyptic number.

It is an amenable number.

904376646673409 is a deficient number, since it is larger than the sum of its proper divisors (248605917674191).

904376646673409 is a wasteful number, since it uses less digits than its factorization.

904376646673409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101606482 (or 101606475 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 74.

The spelling of 904376646673409 in words is "nine hundred four trillion, three hundred seventy-six billion, six hundred forty-six million, six hundred seventy-three thousand, four hundred nine".