115044312768336 has 480 divisors, whose sum is σ = 372230200742400. Its totient is φ = 32490946768896.

The previous prime is 115044312768263. The next prime is 115044312768377. The reversal of 115044312768336 is 633867213440511.

115044312768336 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 4 + 4 + 31 + 276 + 8 + 336 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33707678566 + ... + 33707681978.

It is an arithmetic number, because the mean of its divisors is an integer number (775479584880).

Almost surely, 2^{115044312768336} is an apocalyptic number.

115044312768336 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 115044312768336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186115100371200).

115044312768336 is an abundant number, since it is smaller than the sum of its proper divisors (257185887974064).

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

115044312768336 is a wasteful number, since it uses less digits than its factorization.

115044312768336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 115044312768336 in words is "one hundred fifteen trillion, forty-four billion, three hundred twelve million, seven hundred sixty-eight thousand, three hundred thirty-six".