314344314401357 has 12 divisors (see below), whose sum is σ = 318846681041460. Its totient is φ = 309879400070016.

The previous prime is 314344314401321. The next prime is 314344314401401. The reversal of 314344314401357 is 753104413443413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 85431681041476 + 228912633359881 = 9242926^2 + 15129859^2 .

It is not a de Polignac number, because 314344314401357 - 2³² = 314340019434061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314344314401857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32924768 + ... + 41385129.

It is an arithmetic number, because the mean of its divisors is an integer number (26570556753455).

Almost surely, 2^{314344314401357} is an apocalyptic number.

It is an amenable number.

314344314401357 is a deficient number, since it is larger than the sum of its proper divisors (4502366640103).

314344314401357 is an equidigital number, since it uses as much as digits as its factorization.

314344314401357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74310400 (or 74310203 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 47.

The spelling of 314344314401357 in words is "three hundred fourteen trillion, three hundred forty-four billion, three hundred fourteen million, four hundred one thousand, three hundred fifty-seven".