83284678912 has 72 divisors (see below), whose sum is σ = 170461935000. Its totient is φ = 40587755520.

The previous prime is 83284678861. The next prime is 83284678913. The reversal of 83284678912 is 21987648238.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 165482496 + 83119196416 = 12864^2 + 288304^2 .

It is not an unprimeable number, because it can be changed into a prime (83284678913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13106328 + ... + 13112680.

It is an arithmetic number, because the mean of its divisors is an integer number (2367526875).

Almost surely, 2^83284678912 is an apocalyptic number.

83284678912 is a gapful number since it is divisible by the number (82) 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 83284678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85230967500).

83284678912 is an abundant number, since it is smaller than the sum of its proper divisors (87177256088).

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

83284678912 is a wasteful number, since it uses less digits than its factorization.

83284678912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7659 (or 7645 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 58.

The spelling of 83284678912 in words is "eighty-three billion, two hundred eighty-four million, six hundred seventy-eight thousand, nine hundred twelve".