115228661328 has 480 divisors, whose sum is σ = 371340732672. Its totient is φ = 33044889600.

The previous prime is 115228661309. The next prime is 115228661351. The reversal of 115228661328 is 823166822511.

115228661328 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 2 + 8 + 6 + 613 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 597039600 + ... + 597039792.

Almost surely, 2^115228661328 is an apocalyptic number.

115228661328 is a gapful number since it is divisible by the number (18) 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 115228661328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185670366336).

115228661328 is an abundant number, since it is smaller than the sum of its proper divisors (256112071344).

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

115228661328 is a wasteful number, since it uses less digits than its factorization.

115228661328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 474 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 115228661328 in words is "one hundred fifteen billion, two hundred twenty-eight million, six hundred sixty-one thousand, three hundred twenty-eight".