83511686496 has 192 divisors, whose sum is σ = 257588577792. Its totient is φ = 23190147072.

The previous prime is 83511686491. The next prime is 83511686497. The reversal of 83511686496 is 69468611538.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83511686491) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 41198635 + ... + 41200661.

It is an arithmetic number, because the mean of its divisors is an integer number (1341607176).

Almost surely, 2^83511686496 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 83511686496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128794288896).

83511686496 is an abundant number, since it is smaller than the sum of its proper divisors (174076891296).

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

83511686496 is a wasteful number, since it uses less digits than its factorization.

83511686496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3733 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The spelling of 83511686496 in words is "eighty-three billion, five hundred eleven million, six hundred eighty-six thousand, four hundred ninety-six".