115452436736 has 288 divisors, whose sum is σ = 308475901440. Its totient is φ = 41819701248.

The previous prime is 115452436709. The next prime is 115452436747. The reversal of 115452436736 is 637634254511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14649245 + ... + 14657123.

It is an arithmetic number, because the mean of its divisors is an integer number (1071096880).

Almost surely, 2^115452436736 is an apocalyptic number.

115452436736 is a gapful number since it is divisible by the number (16) 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 115452436736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154237950720).

115452436736 is an abundant number, since it is smaller than the sum of its proper divisors (193023464704).

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

115452436736 is a wasteful number, since it uses less digits than its factorization.

115452436736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969 (or 7955 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 47.

The spelling of 115452436736 in words is "one hundred fifteen billion, four hundred fifty-two million, four hundred thirty-six thousand, seven hundred thirty-six".