115216631712 has 960 divisors, whose sum is σ = 449154478080. Its totient is φ = 28123490304.

The previous prime is 115216631711. The next prime is 115216631737. The reversal of 115216631712 is 217136612511.

115216631712 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 1 + 6 + 631 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115216631711) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 210633423 + ... + 210633969.

It is an arithmetic number, because the mean of its divisors is an integer number (467869248).

Almost surely, 2^115216631712 is an apocalyptic number.

115216631712 is a gapful number since it is divisible by the number (12) 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 115216631712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224577239040).

115216631712 is an abundant number, since it is smaller than the sum of its proper divisors (333937846368).

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

115216631712 is a wasteful number, since it uses less digits than its factorization.

115216631712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 638 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The spelling of 115216631712 in words is "one hundred fifteen billion, two hundred sixteen million, six hundred thirty-one thousand, seven hundred twelve".