83186533248 has 512 divisors, whose sum is σ = 292225920000. Its totient is φ = 20776476672.

The previous prime is 83186533237. The next prime is 83186533253. The reversal of 83186533248 is 84233568138.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 83186533248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32531586 + ... + 32534142.

It is an arithmetic number, because the mean of its divisors is an integer number (570753750).

Almost surely, 2^83186533248 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 83186533248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146112960000).

83186533248 is an abundant number, since it is smaller than the sum of its proper divisors (209039386752).

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

83186533248 is a wasteful number, since it uses less digits than its factorization.

83186533248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2601 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The spelling of 83186533248 in words is "eighty-three billion, one hundred eighty-six million, five hundred thirty-three thousand, two hundred forty-eight".