82463414964 has 144 divisors (see below), whose sum is σ = 239259194496. Its totient is φ = 21986764800.

The previous prime is 82463414959. The next prime is 82463414977. The reversal of 82463414964 is 46941436428.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480124 + ... + 628844.

It is an arithmetic number, because the mean of its divisors is an integer number (1661522184).

Almost surely, 2^82463414964 is an apocalyptic number.

82463414964 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82463414964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119629597248).

82463414964 is an abundant number, since it is smaller than the sum of its proper divisors (156795779532).

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

82463414964 is a wasteful number, since it uses less digits than its factorization.

82463414964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148806 (or 148797 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The spelling of 82463414964 in words is "eighty-two billion, four hundred sixty-three million, four hundred fourteen thousand, nine hundred sixty-four".