823468032000 has 1360 divisors, whose sum is σ = 3295496133072. Its totient is φ = 203843174400.

The previous prime is 823468031917. The next prime is 823468032011. The reversal of 823468032000 is 230864328.

It can be written as a sum of positive squares in 8 ways, for example, as 139314069504 + 684153962496 = 373248^2 + 827136^2 .

It is a tau number, because it is divible by the number of its divisors (1360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11280383964 + ... + 11280384036.

Almost surely, 2^823468032000 is an apocalyptic number.

823468032000 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 823468032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647748066536).

823468032000 is an abundant number, since it is smaller than the sum of its proper divisors (2472028101072).

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

823468032000 is an frugal number, since it uses more digits than its factorization.

823468032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 823468032000 its reverse (230864328), we get a palindrome (823698896328).

The spelling of 823468032000 in words is "eight hundred twenty-three billion, four hundred sixty-eight million, thirty-two thousand".