314113123008 has 168 divisors, whose sum is σ = 948099297600. Its totient is φ = 99155529216.

The previous prime is 314113122949. The next prime is 314113123019. The reversal of 314113123008 is 800321311413.

314113123008 is a `hidden beast` number, since 3 + 1 + 41 + 1 + 312 + 300 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46169335 + ... + 46176137.

It is an arithmetic number, because the mean of its divisors is an integer number (5643448200).

Almost surely, 2^314113123008 is an apocalyptic number.

314113123008 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 314113123008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474049648800).

314113123008 is an abundant number, since it is smaller than the sum of its proper divisors (633986174592).

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

314113123008 is a wasteful number, since it uses less digits than its factorization.

314113123008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11059 (or 11046 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 314113123008 in words is "three hundred fourteen billion, one hundred thirteen million, one hundred twenty-three thousand, eight".