823734116352 has 560 divisors, whose sum is σ = 2839983875520. Its totient is φ = 233050079232.

The previous prime is 823734116341. The next prime is 823734116389. The reversal of 823734116352 is 253611437328.

823734116352 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 3 + 4 + 1 + 1 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 823734116298 and 823734116307.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 506289363 + ... + 506290989.

Almost surely, 2^823734116352 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 823734116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419991937760).

823734116352 is an abundant number, since it is smaller than the sum of its proper divisors (2016249759168).

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

823734116352 is a wasteful number, since it uses less digits than its factorization.

823734116352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1748 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 823734116352 in words is "eight hundred twenty-three billion, seven hundred thirty-four million, one hundred sixteen thousand, three hundred fifty-two".