821122483350 has 384 divisors, whose sum is σ = 2401327555200. Its totient is φ = 183808327680.

The previous prime is 821122483249. The next prime is 821122483361. The reversal of 821122483350 is 53384221128.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 821122483299 and 821122483308.

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 191 ways as a sum of consecutive naturals, for example, 182753704 + ... + 182758196.

It is an arithmetic number, because the mean of its divisors is an integer number (6253457175).

Almost surely, 2^821122483350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821122483350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200663777600).

821122483350 is an abundant number, since it is smaller than the sum of its proper divisors (1580205071850).

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

821122483350 is a wasteful number, since it uses less digits than its factorization.

821122483350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 821122483350 in words is "eight hundred twenty-one billion, one hundred twenty-two million, four hundred eighty-three thousand, three hundred fifty".