115213564544 has 128 divisors (see below), whose sum is σ = 256104374400. Its totient is φ = 51262009344.

The previous prime is 115213564541. The next prime is 115213564559. The reversal of 115213564544 is 445465312511.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (115213564541) 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 15 ways as a sum of consecutive naturals, for example, 39906269 + ... + 39909155.

It is an arithmetic number, because the mean of its divisors is an integer number (2000815425).

Almost surely, 2^115213564544 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 115213564544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128052187200).

115213564544 is an abundant number, since it is smaller than the sum of its proper divisors (140890809856).

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

115213564544 is a wasteful number, since it uses less digits than its factorization.

115213564544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3758 counting only the distinct ones).

The product of its digits is 288000, while the sum is 41.

The spelling of 115213564544 in words is "one hundred fifteen billion, two hundred thirteen million, five hundred sixty-four thousand, five hundred forty-four".