115669668576 has 192 divisors, whose sum is σ = 378794465280. Its totient is φ = 30025090560.

The previous prime is 115669668553. The next prime is 115669668577. The reversal of 115669668576 is 675866966511.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115669668577) 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, 14624815 + ... + 14632721.

It is an arithmetic number, because the mean of its divisors is an integer number (1972887840).

Almost surely, 2^115669668576 is an apocalyptic number.

115669668576 is a gapful number since it is divisible by the number (16) 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 115669668576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189397232640).

115669668576 is an abundant number, since it is smaller than the sum of its proper divisors (263124796704).

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

115669668576 is a wasteful number, since it uses less digits than its factorization.

115669668576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9917 (or 9909 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 66.

The spelling of 115669668576 in words is "one hundred fifteen billion, six hundred sixty-nine million, six hundred sixty-eight thousand, five hundred seventy-six".