314053340224 has 112 divisors (see below), whose sum is σ = 682155658800. Its totient is φ = 142584938496.

The previous prime is 314053340203. The next prime is 314053340233. The reversal of 314053340224 is 422043350413.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15465409600 + 298587930624 = 124360^2 + 546432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14576692 + ... + 14598220.

It is an arithmetic number, because the mean of its divisors is an integer number (6090675525).

Almost surely, 2^314053340224 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 314053340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341077829400).

314053340224 is an abundant number, since it is smaller than the sum of its proper divisors (368102318576).

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

314053340224 is a wasteful number, since it uses less digits than its factorization.

314053340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21840 (or 21830 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 314053340224 its reverse (422043350413), we get a palindrome (736096690637).

The spelling of 314053340224 in words is "three hundred fourteen billion, fifty-three million, three hundred forty thousand, two hundred twenty-four".