823635536328 has 256 divisors, whose sum is σ = 2520867225600. Its totient is φ = 247091604480.

The previous prime is 823635536323. The next prime is 823635536333.

823635536328 is a `hidden beast` number, since 8 + 2 + 3 + 6 + 3 + 553 + 63 + 28 = 666.

823635536328 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (823635536323) and next prime (823635536333).

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

It is not an unprimeable number, because it can be changed into a prime (823635536323) 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 63 ways as a sum of consecutive naturals, for example, 399240625 + ... + 399242687.

It is an arithmetic number, because the mean of its divisors is an integer number (9847137600).

Almost surely, 2^823635536328 is an apocalyptic number.

823635536328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823635536328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260433612800).

823635536328 is an abundant number, since it is smaller than the sum of its proper divisors (1697231689272).

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

823635536328 is a wasteful number, since it uses less digits than its factorization.

823635536328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3679 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 823635536328 in words is "eight hundred twenty-three billion, six hundred thirty-five million, five hundred thirty-six thousand, three hundred twenty-eight".