314068494096 has 300 divisors, whose sum is σ = 1062121336848. Its totient is φ = 89334451584.

The previous prime is 314068494073. The next prime is 314068494139. The reversal of 314068494096 is 690494860413.

It is a happy number.

314068494096 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 68 + 494 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14404515 + ... + 14426301.

Almost surely, 2^314068494096 is an apocalyptic number.

314068494096 is a gapful number since it is divisible by the number (36) 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 314068494096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531060668424).

314068494096 is an abundant number, since it is smaller than the sum of its proper divisors (748052842752).

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

314068494096 is a wasteful number, since it uses less digits than its factorization.

314068494096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22048 (or 22026 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 314068494096 in words is "three hundred fourteen billion, sixty-eight million, four hundred ninety-four thousand, ninety-six".