823414636632 has 512 divisors, whose sum is σ = 2632691220480. Its totient is φ = 209227898880.

The previous prime is 823414636543. The next prime is 823414636687. The reversal of 823414636632 is 236636414328.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 753352278 + ... + 753353370.

It is an arithmetic number, because the mean of its divisors is an integer number (5141975040).

Almost surely, 2^823414636632 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 823414636632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316345610240).

823414636632 is an abundant number, since it is smaller than the sum of its proper divisors (1809276583848).

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

823414636632 is a wasteful number, since it uses less digits than its factorization.

823414636632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1347 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 823414636632 in words is "eight hundred twenty-three billion, four hundred fourteen million, six hundred thirty-six thousand, six hundred thirty-two".