115002467712 has 576 divisors, whose sum is σ = 383043211200. Its totient is φ = 34096204800.

The previous prime is 115002467707. The next prime is 115002467719. The reversal of 115002467712 is 217764200511.

115002467712 is a `hidden beast` number, since 1 + 1 + 500 + 24 + 67 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115002467719) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 545035287 + ... + 545035497.

It is an arithmetic number, because the mean of its divisors is an integer number (665005575).

Almost surely, 2^115002467712 is an apocalyptic number.

115002467712 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 115002467712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191521605600).

115002467712 is an abundant number, since it is smaller than the sum of its proper divisors (268040743488).

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

115002467712 is an frugal number, since it uses more digits than its factorization.

115002467712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 115002467712 in words is "one hundred fifteen billion, two million, four hundred sixty-seven thousand, seven hundred twelve".