115946486291328 has 768 divisors, whose sum is σ = 411563329689600. Its totient is φ = 28519987507200.

The previous prime is 115946486291327. The next prime is 115946486291341. The reversal of 115946486291328 is 823192684649511.

115946486291328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×115946486291328² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115946486291327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16088033901 + ... + 16088041107.

It is an arithmetic number, because the mean of its divisors is an integer number (535889752200).

Almost surely, 2^{115946486291328} 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 115946486291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205781664844800).

115946486291328 is an abundant number, since it is smaller than the sum of its proper divisors (295616843398272).

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

115946486291328 is a wasteful number, since it uses less digits than its factorization.

115946486291328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11359 (or 11340 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 69.

The spelling of 115946486291328 in words is "one hundred fifteen trillion, nine hundred forty-six billion, four hundred eighty-six million, two hundred ninety-one thousand, three hundred twenty-eight".