83669491747296 has 3456 divisors, whose sum is σ = 333959528448000. Its totient is φ = 19772036444160.

The previous prime is 83669491747213. The next prime is 83669491747357. The reversal of 83669491747296 is 69274719496638.

83669491747296 is a `hidden beast` number, since 8 + 3 + 6 + 6 + 9 + 49 + 17 + 472 + 96 = 666.

It is a super-2 number, since 2×83669491747296² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 658814895585 + ... + 658814895711.

It is an arithmetic number, because the mean of its divisors is an integer number (96631808000).

Almost surely, 2^{83669491747296} 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 83669491747296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166979764224000).

83669491747296 is an abundant number, since it is smaller than the sum of its proper divisors (250290036700704).

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

83669491747296 is a wasteful number, since it uses less digits than its factorization.

83669491747296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 269 counting only the distinct ones).

The product of its digits is 5925685248, while the sum is 81.

The spelling of 83669491747296 in words is "eighty-three trillion, six hundred sixty-nine billion, four hundred ninety-one million, seven hundred forty-seven thousand, two hundred ninety-six".