314388242688 has 288 divisors, whose sum is σ = 923063335936. Its totient is φ = 94404870144.

The previous prime is 314388242639. The next prime is 314388242737. The reversal of 314388242688 is 886242883413.

It is an interprime number because it is at equal distance from previous prime (314388242639) and next prime (314388242737).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70694481 + ... + 70698927.

Almost surely, 2^314388242688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314388242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461531667968).

314388242688 is an abundant number, since it is smaller than the sum of its proper divisors (608675093248).

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

314388242688 is a wasteful number, since it uses less digits than its factorization.

314388242688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4635 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 57.

The spelling of 314388242688 in words is "three hundred fourteen billion, three hundred eighty-eight million, two hundred forty-two thousand, six hundred eighty-eight".