115166005666656 has 288 divisors, whose sum is σ = 368592249392640. Its totient is φ = 30836083605504.

The previous prime is 115166005666609. The next prime is 115166005666661. The reversal of 115166005666656 is 656666500661511.

115166005666656 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×115166005666656³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 115166005666656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43977925 + ... + 46523003.

It is an arithmetic number, because the mean of its divisors is an integer number (1279834199280).

Almost surely, 2^{115166005666656} is an apocalyptic number.

115166005666656 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 115166005666656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184296124696320).

115166005666656 is an abundant number, since it is smaller than the sum of its proper divisors (253426243725984).

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

115166005666656 is a wasteful number, since it uses less digits than its factorization.

115166005666656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545366 (or 2545341 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 60.

The spelling of 115166005666656 in words is "one hundred fifteen trillion, one hundred sixty-six billion, five million, six hundred sixty-six thousand, six hundred fifty-six".