314499842304 has 72 divisors (see below), whose sum is σ = 837548540640. Its totient is φ = 104768114688.

The previous prime is 314499842287. The next prime is 314499842369. The reversal of 314499842304 is 403248994413.

It is a happy number.

It is a super-3 number, since 3×314499842304³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1116924 + ... + 1369860.

It is an arithmetic number, because the mean of its divisors is an integer number (11632618620).

Almost surely, 2^314499842304 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 314499842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418774270320).

314499842304 is an abundant number, since it is smaller than the sum of its proper divisors (523048698336).

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

314499842304 is a wasteful number, since it uses less digits than its factorization.

314499842304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254575 (or 254561 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 314499842304 in words is "three hundred fourteen billion, four hundred ninety-nine million, eight hundred forty-two thousand, three hundred four".