314351642033 has 16 divisors (see below), whose sum is σ = 369394065600. Its totient is φ = 263730271680.

The previous prime is 314351642009. The next prime is 314351642039. The reversal of 314351642033 is 330246153413.

It is a cyclic number.

It is not a de Polignac number, because 314351642033 - 2³⁶ = 245632165297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314351641984 and 314351642002.

It is not an unprimeable number, because it can be changed into a prime (314351642039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367163 + ... + 873791.

It is an arithmetic number, because the mean of its divisors is an integer number (23087129100).

Almost surely, 2^314351642033 is an apocalyptic number.

It is an amenable number.

314351642033 is a deficient number, since it is larger than the sum of its proper divisors (55042423567).

314351642033 is a wasteful number, since it uses less digits than its factorization.

314351642033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510992.

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 314351642033 its reverse (330246153413), we get a palindrome (644597795446).

The spelling of 314351642033 in words is "three hundred fourteen billion, three hundred fifty-one million, six hundred forty-two thousand, thirty-three".