314064220313088 has 1600 divisors, whose sum is σ = 1171257324019200. Its totient is φ = 81778218762240.

The previous prime is 314064220313029. The next prime is 314064220313089. The reversal of 314064220313088 is 880313022460413.

314064220313088 is a `hidden beast` number, since 3 + 1 + 406 + 4 + 2 + 203 + 1 + 30 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314064220313089) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18163441723 + ... + 18163459013.

It is an arithmetic number, because the mean of its divisors is an integer number (732035827512).

Almost surely, 2^{314064220313088} is an apocalyptic number.

314064220313088 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 314064220313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585628662009600).

314064220313088 is an abundant number, since it is smaller than the sum of its proper divisors (857193103706112).

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

314064220313088 is a wasteful number, since it uses less digits than its factorization.

314064220313088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17473 (or 17448 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 314064220313088 in words is "three hundred fourteen trillion, sixty-four billion, two hundred twenty million, three hundred thirteen thousand, eighty-eight".