82634584416 has 36 divisors (see below), whose sum is σ = 216923177772. Its totient is φ = 27543922624.

The previous prime is 82634584411. The next prime is 82634584421. The reversal of 82634584416 is 61448543628.

It is an interprime number because it is at equal distance from previous prime (82634584411) and next prime (82634584421).

It is a super-2 number, since 2×82634584416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82634584411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2801875 + ... + 2831213.

It is an arithmetic number, because the mean of its divisors is an integer number (6025643827).

Almost surely, 2^82634584416 is an apocalyptic number.

It is an amenable number.

82634584416 is an abundant number, since it is smaller than the sum of its proper divisors (134288593356).

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

82634584416 is an frugal number, since it uses more digits than its factorization.

82634584416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58691 (or 29344 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 51.

The spelling of 82634584416 in words is "eighty-two billion, six hundred thirty-four million, five hundred eighty-four thousand, four hundred sixteen".