2314886086656 has 1536 divisors, whose sum is σ = 8656408051200. Its totient is φ = 607707463680.

The previous prime is 2314886086621. The next prime is 2314886086663. The reversal of 2314886086656 is 6566806884132.

It is a happy number.

2314886086656 is a `hidden beast` number, since 2 + 3 + 14 + 8 + 8 + 608 + 6 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 2314886086593 and 2314886086602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21634449355 + ... + 21634449461.

It is an arithmetic number, because the mean of its divisors is an integer number (5635682325).

Almost surely, 2^{2314886086656} is an apocalyptic number.

2314886086656 is a gapful number since it is divisible by the number (26) 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 2314886086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328204025600).

2314886086656 is an abundant number, since it is smaller than the sum of its proper divisors (6341521964544).

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

2314886086656 is a wasteful number, since it uses less digits than its factorization.

2314886086656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 2314886086656 in words is "two trillion, three hundred fourteen billion, eight hundred eighty-six million, eighty-six thousand, six hundred fifty-six".