115816743504 has 960 divisors, whose sum is σ = 436415496192. Its totient is φ = 27804902400.

The previous prime is 115816743503. The next prime is 115816743529. The reversal of 115816743504 is 405347618511.

115816743504 is a `hidden beast` number, since 1 + 1 + 5 + 81 + 67 + 4 + 3 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 115816743504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115816743503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1082399419 + ... + 1082399525.

Almost surely, 2^115816743504 is an apocalyptic number.

115816743504 is a gapful number since it is divisible by the number (14) 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 115816743504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218207748096).

115816743504 is an abundant number, since it is smaller than the sum of its proper divisors (320598752688).

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

115816743504 is a wasteful number, since it uses less digits than its factorization.

115816743504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 115816743504 in words is "one hundred fifteen billion, eight hundred sixteen million, seven hundred forty-three thousand, five hundred four".