115732331826048 has 1024 divisors, whose sum is σ = 413464802918400. Its totient is φ = 31154264064000.

The previous prime is 115732331825989. The next prime is 115732331826061. The reversal of 115732331826048 is 840628133237511.

115732331826048 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 3 + 2 + 331 + 8 + 260 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 115732331825985 and 115732331826003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42689903413 + ... + 42689906123.

It is an arithmetic number, because the mean of its divisors is an integer number (403774221600).

Almost surely, 2^{115732331826048} is an apocalyptic number.

115732331826048 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 115732331826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206732401459200).

115732331826048 is an abundant number, since it is smaller than the sum of its proper divisors (297732471092352).

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

115732331826048 is a wasteful number, since it uses less digits than its factorization.

115732331826048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 115732331826048 in words is "one hundred fifteen trillion, seven hundred thirty-two billion, three hundred thirty-one million, eight hundred twenty-six thousand, forty-eight".