823634436328 has 24 divisors (see below), whose sum is σ = 1697469733890. Its totient is φ = 374379288800.

The previous prime is 823634436307. The next prime is 823634436353.

823634436328 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 554545323684 + 269089112644 = 744678^2 + 518738^2 .

It is a super-2 number, since 2×823634436328² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 425430043 + ... + 425431978.

Almost surely, 2^823634436328 is an apocalyptic number.

823634436328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

823634436328 is an abundant number, since it is smaller than the sum of its proper divisors (873835297562).

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

823634436328 is a wasteful number, since it uses less digits than its factorization.

823634436328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850862049 (or 850862034 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 52.

The spelling of 823634436328 in words is "eight hundred twenty-three billion, six hundred thirty-four million, four hundred thirty-six thousand, three hundred twenty-eight".