82346418432 has 216 divisors, whose sum is σ = 243364657536. Its totient is φ = 26766471168.

The previous prime is 82346418419. The next prime is 82346418443. The reversal of 82346418432 is 23481464328.

It is a happy number.

82346418432 is a `hidden beast` number, since 8 + 2 + 3 + 464 + 184 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33243178 + ... + 33245654.

Almost surely, 2^82346418432 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 82346418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121682328768).

82346418432 is an abundant number, since it is smaller than the sum of its proper divisors (161018239104).

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

82346418432 is a wasteful number, since it uses less digits than its factorization.

82346418432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2836 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 82346418432 in words is "eighty-two billion, three hundred forty-six million, four hundred eighteen thousand, four hundred thirty-two".