83824823808 has 600 divisors, whose sum is σ = 288627296760. Its totient is φ = 24017264640.

The previous prime is 83824823773. The next prime is 83824823809. The reversal of 83824823808 is 80832842838.

It is a happy number.

83824823808 is a `hidden beast` number, since 8 + 3 + 82 + 482 + 3 + 80 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83824823809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 164685058 + ... + 164685566.

Almost surely, 2^83824823808 is an apocalyptic number.

83824823808 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 83824823808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144313648380).

83824823808 is an abundant number, since it is smaller than the sum of its proper divisors (204802472952).

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

83824823808 is a wasteful number, since it uses less digits than its factorization.

83824823808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 83824823808 in words is "eighty-three billion, eight hundred twenty-four million, eight hundred twenty-three thousand, eight hundred eight".