823125888521328 has 40 divisors (see below), whose sum is σ = 2430181194683008. Its totient is φ = 235178825291712.

The previous prime is 823125888521173. The next prime is 823125888521333.

823125888521328 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1224889714726 + ... + 1224889715397.

Almost surely, 2^{823125888521328} is an apocalyptic number.

It is an amenable number.

823125888521328 is an abundant number, since it is smaller than the sum of its proper divisors (1607055306161680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

823125888521328 is a wasteful number, since it uses less digits than its factorization.

823125888521328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449779430141 (or 2449779430135 counting only the distinct ones).

The product of its digits is 117964800, while the sum is 66.

The spelling of 823125888521328 in words is "eight hundred twenty-three trillion, one hundred twenty-five billion, eight hundred eighty-eight million, five hundred twenty-one thousand, three hundred twenty-eight".