115617261341088 has 864 divisors, whose sum is σ = 378546808872960. Its totient is φ = 33363018823680.

The previous prime is 115617261341077. The next prime is 115617261341093. The reversal of 115617261341088 is 880143162716511.

115617261341088 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 1 + 7 + 2 + 613 + 4 + 10 + 8 + 8 = 666.

It is a super-2 number, since 2×115617261341088² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75517478883 + ... + 75517480413.

It is an arithmetic number, because the mean of its divisors is an integer number (438132880640).

Almost surely, 2^{115617261341088} is an apocalyptic number.

115617261341088 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 115617261341088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189273404436480).

115617261341088 is an abundant number, since it is smaller than the sum of its proper divisors (262929547531872).

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

115617261341088 is a wasteful number, since it uses less digits than its factorization.

115617261341088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 115617261341088 in words is "one hundred fifteen trillion, six hundred seventeen billion, two hundred sixty-one million, three hundred forty-one thousand, eighty-eight".