115071076614144 has 720 divisors, whose sum is σ = 377000723742720. Its totient is φ = 31041811906560.

The previous prime is 115071076614113. The next prime is 115071076614149. The reversal of 115071076614144 is 441416670170511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 115071076614093 and 115071076614102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115071076614149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14048473089 + ... + 14048481279.

Almost surely, 2^{115071076614144} is an apocalyptic number.

115071076614144 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 115071076614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188500361871360).

115071076614144 is an abundant number, since it is smaller than the sum of its proper divisors (261929647128576).

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

115071076614144 is an equidigital number, since it uses as much as digits as its factorization.

115071076614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8562 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 115071076614144 in words is "one hundred fifteen trillion, seventy-one billion, seventy-six million, six hundred fourteen thousand, one hundred forty-four".