823523936256 has 504 divisors, whose sum is σ = 2872170174510. Its totient is φ = 235271651328.

The previous prime is 823523936243. The next prime is 823523936269. The reversal of 823523936256 is 652639325328.

823523936256 is a `hidden beast` number, since 8 + 2 + 3 + 5 + 2 + 3 + 9 + 3 + 625 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (823523936243) and next prime (823523936269).

It can be written as a sum of positive squares in only one way, i.e., 571536000000 + 251987936256 = 756000^2 + 501984^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 73150980 + ... + 73162236.

Almost surely, 2^823523936256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823523936256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436085087255).

823523936256 is an abundant number, since it is smaller than the sum of its proper divisors (2048646238254).

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

823523936256 is an equidigital number, since it uses as much as digits as its factorization.

823523936256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11311 (or 11269 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 823523936256 in words is "eight hundred twenty-three billion, five hundred twenty-three million, nine hundred thirty-six thousand, two hundred fifty-six".