115081752086816 has 144 divisors (see below), whose sum is σ = 238624955868096. Its totient is φ = 54581197676544.

The previous prime is 115081752086801. The next prime is 115081752086867. The reversal of 115081752086816 is 618680257180511.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 746320061 + ... + 746474243.

It is an arithmetic number, because the mean of its divisors is an integer number (1657117749084).

Almost surely, 2^{115081752086816} is an apocalyptic number.

115081752086816 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 115081752086816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119312477934048).

115081752086816 is an abundant number, since it is smaller than the sum of its proper divisors (123543203781280).

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

115081752086816 is an equidigital number, since it uses as much as digits as its factorization.

115081752086816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154491 (or 154386 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 59.

The spelling of 115081752086816 in words is "one hundred fifteen trillion, eighty-one billion, seven hundred fifty-two million, eighty-six thousand, eight hundred sixteen".