823306351842 has 96 divisors (see below), whose sum is σ = 1981573776000. Its totient is φ = 253268503488.

The previous prime is 823306351841. The next prime is 823306351867. The reversal of 823306351842 is 248153603328.

823306351842 is a `hidden beast` number, since 8 + 2 + 3 + 3 + 0 + 635 + 1 + 8 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (823306351841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 61438659 + ... + 61452057.

It is an arithmetic number, because the mean of its divisors is an integer number (20641393500).

Almost surely, 2^823306351842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823306351842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990786888000).

823306351842 is an abundant number, since it is smaller than the sum of its proper divisors (1158267424158).

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

823306351842 is a wasteful number, since it uses less digits than its factorization.

823306351842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20169 (or 20150 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 823306351842 in words is "eight hundred twenty-three billion, three hundred six million, three hundred fifty-one thousand, eight hundred forty-two".