115166141856 has 144 divisors (see below), whose sum is σ = 336325167360. Its totient is φ = 37368414720.

The previous prime is 115166141851. The next prime is 115166141939. The reversal of 115166141856 is 658141661511.

115166141856 is a `hidden beast` number, since 1 + 1 + 5 + 16 + 614 + 18 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (115166141851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1579746 + ... + 1651038.

It is an arithmetic number, because the mean of its divisors is an integer number (2335591440).

Almost surely, 2^115166141856 is an apocalyptic number.

115166141856 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 115166141856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168162583680).

115166141856 is an abundant number, since it is smaller than the sum of its proper divisors (221159025504).

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

115166141856 is a wasteful number, since it uses less digits than its factorization.

115166141856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71459 (or 71448 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The spelling of 115166141856 in words is "one hundred fifteen billion, one hundred sixty-six million, one hundred forty-one thousand, eight hundred fifty-six".