823794144480 has 336 divisors, whose sum is σ = 2985863958000. Its totient is φ = 214568331264.

The previous prime is 823794144463. The next prime is 823794144493. The reversal of 823794144480 is 84441497328.

823794144480 is a `hidden beast` number, since 8 + 2 + 37 + 94 + 1 + 44 + 480 = 666.

It is a super-2 number, since 2×823794144480² (a number of 25 digits) contains 22 as substring.

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

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 55 ways as a sum of consecutive naturals, for example, 4933396 + ... + 5097644.

It is an arithmetic number, because the mean of its divisors is an integer number (8886499875).

Almost surely, 2^823794144480 is an apocalyptic number.

823794144480 is a gapful number since it is divisible by the number (80) 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 823794144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492931979000).

823794144480 is an abundant number, since it is smaller than the sum of its proper divisors (2162069813520).

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

823794144480 is a wasteful number, since it uses less digits than its factorization.

823794144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164325 (or 164302 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 823794144480 in words is "eight hundred twenty-three billion, seven hundred ninety-four million, one hundred forty-four thousand, four hundred eighty".