115723805453568 has 432 divisors, whose sum is σ = 369186245662416. Its totient is φ = 34631044300800.

The previous prime is 115723805453533. The next prime is 115723805453587. The reversal of 115723805453568 is 865354508327511.

115723805453568 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 2 + 3 + 80 + 545 + 3 + 5 + 6 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 601622784 + 115723203830784 = 24528^2 + 10757472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2944531518 + ... + 2944570818.

Almost surely, 2^{115723805453568} is an apocalyptic number.

115723805453568 is a gapful number since it is divisible by the number (18) 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 115723805453568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184593122831208).

115723805453568 is an abundant number, since it is smaller than the sum of its proper divisors (253462440208848).

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

115723805453568 is a wasteful number, since it uses less digits than its factorization.

115723805453568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42030 (or 42013 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 115723805453568 in words is "one hundred fifteen trillion, seven hundred twenty-three billion, eight hundred five million, four hundred fifty-three thousand, five hundred sixty-eight".