83934844866576 has 720 divisors, whose sum is σ = 270813226844160. Its totient is φ = 24228300096000.

The previous prime is 83934844866413. The next prime is 83934844866583. The reversal of 83934844866576 is 67566844843938.

83934844866576 is a `hidden beast` number, since 8 + 3 + 9 + 3 + 4 + 8 + 4 + 486 + 65 + 76 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83934844866495 and 83934844866504.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 5613987901 + ... + 5614002851.

It is an arithmetic number, because the mean of its divisors is an integer number (376129481728).

Almost surely, 2^{83934844866576} is an apocalyptic number.

83934844866576 is a gapful number since it is divisible by the number (86) 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 83934844866576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135406613422080).

83934844866576 is an abundant number, since it is smaller than the sum of its proper divisors (186878381977584).

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

83934844866576 is a wasteful number, since it uses less digits than its factorization.

83934844866576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15216 (or 15196 counting only the distinct ones).

The product of its digits is 20065812480, while the sum is 81.

The spelling of 83934844866576 in words is "eighty-three trillion, nine hundred thirty-four billion, eight hundred forty-four million, eight hundred sixty-six thousand, five hundred seventy-six".