82834130496 has 168 divisors, whose sum is σ = 239201577984. Its totient is φ = 25285478400.

The previous prime is 82834130447. The next prime is 82834130497. The reversal of 82834130496 is 69403143828.

It is a super-2 number, since 2×82834130496² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82834130497) by changing a digit.

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, 4110846 + ... + 4130946.

Almost surely, 2^82834130496 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 82834130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119600788992).

82834130496 is an abundant number, since it is smaller than the sum of its proper divisors (156367447488).

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

82834130496 is a wasteful number, since it uses less digits than its factorization.

82834130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20269 (or 20246 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 82834130496 in words is "eighty-two billion, eight hundred thirty-four million, one hundred thirty thousand, four hundred ninety-six".