84212512344 has 144 divisors (see below), whose sum is σ = 237606361200. Its totient is φ = 26942861568.

The previous prime is 84212512297. The next prime is 84212512357. The reversal of 84212512344 is 44321521248.

84212512344 is a `hidden beast` number, since 84 + 21 + 2 + 512 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84212512299 and 84212512308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10471477 + ... + 10479515.

It is an arithmetic number, because the mean of its divisors is an integer number (1650044175).

Almost surely, 2^84212512344 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 84212512344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118803180600).

84212512344 is an abundant number, since it is smaller than the sum of its proper divisors (153393848856).

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

84212512344 is a wasteful number, since it uses less digits than its factorization.

84212512344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8246 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 84212512344 in words is "eighty-four billion, two hundred twelve million, five hundred twelve thousand, three hundred forty-four".