115117801344 has 512 divisors, whose sum is σ = 423419136000. Its totient is φ = 30354020352.

The previous prime is 115117801343. The next prime is 115117801363. The reversal of 115117801344 is 443108711511.

115117801344 is a `hidden beast` number, since 1 + 1 + 511 + 7 + 8 + 0 + 134 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115117801299 and 115117801308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115117801343) 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 63 ways as a sum of consecutive naturals, for example, 25471917 + ... + 25476435.

It is an arithmetic number, because the mean of its divisors is an integer number (826990500).

Almost surely, 2^115117801344 is an apocalyptic number.

115117801344 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 115117801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211709568000).

115117801344 is an abundant number, since it is smaller than the sum of its proper divisors (308301334656).

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

115117801344 is an frugal number, since it uses more digits than its factorization.

115117801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 115117801344 in words is "one hundred fifteen billion, one hundred seventeen million, eight hundred one thousand, three hundred forty-four".