314340094065888 has 1008 divisors, whose sum is σ = 1070621018836992. Its totient is φ = 90044353728000.

The previous prime is 314340094065887. The next prime is 314340094065929. The reversal of 314340094065888 is 888560490043413.

314340094065888 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 4 + 0 + 0 + 9 + 40 + 6 + 588 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314340094065887) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 45484021153 + ... + 45484028063.

It is an arithmetic number, because the mean of its divisors is an integer number (1062124026624).

Almost surely, 2^{314340094065888} is an apocalyptic number.

314340094065888 is a gapful number since it is divisible by the number (38) 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 314340094065888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535310509418496).

314340094065888 is an abundant number, since it is smaller than the sum of its proper divisors (756280924771104).

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

314340094065888 is a wasteful number, since it uses less digits than its factorization.

314340094065888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7479 (or 7437 counting only the distinct ones).

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

The spelling of 314340094065888 in words is "three hundred fourteen trillion, three hundred forty billion, ninety-four million, sixty-five thousand, eight hundred eighty-eight".