83786421312 has 336 divisors, whose sum is σ = 276467742720. Its totient is φ = 23993625600.

The previous prime is 83786421247. The next prime is 83786421317. The reversal of 83786421312 is 21312468738.

83786421312 is a `hidden beast` number, since 8 + 378 + 64 + 213 + 1 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83786421317) 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 47 ways as a sum of consecutive naturals, for example, 75961753 + ... + 75962855.

Almost surely, 2^83786421312 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 83786421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138233871360).

83786421312 is an abundant number, since it is smaller than the sum of its proper divisors (192681321408).

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

83786421312 is a wasteful number, since it uses less digits than its factorization.

83786421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1769 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 83786421312 in words is "eighty-three billion, seven hundred eighty-six million, four hundred twenty-one thousand, three hundred twelve".