314958646338 has 128 divisors (see below), whose sum is σ = 741496412160. Its totient is φ = 87341414400.

The previous prime is 314958646337. The next prime is 314958646363. The reversal of 314958646338 is 833646859413.

It is not an unprimeable number, because it can be changed into a prime (314958646337) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 46998388 + ... + 47005088.

It is an arithmetic number, because the mean of its divisors is an integer number (5792940720).

Almost surely, 2^314958646338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314958646338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370748206080).

314958646338 is an abundant number, since it is smaller than the sum of its proper divisors (426537765822).

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

314958646338 is a wasteful number, since it uses less digits than its factorization.

314958646338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032.

The product of its digits is 44789760, while the sum is 60.

The spelling of 314958646338 in words is "three hundred fourteen billion, nine hundred fifty-eight million, six hundred forty-six thousand, three hundred thirty-eight".