314144224224033 has 64 divisors (see below), whose sum is σ = 523875361536000. Its totient is φ = 166854301548480.

The previous prime is 314144224224013. The next prime is 314144224224097. The reversal of 314144224224033 is 330422422441413.

It is not a de Polignac number, because 314144224224033 - 2⁸ = 314144224223777 is a prime.

It is a super-2 number, since 2×314144224224033² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314144224223982 and 314144224224000.

It is not an unprimeable number, because it can be changed into a prime (314144224224013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150548103 + ... + 152620508.

It is an arithmetic number, because the mean of its divisors is an integer number (8185552524000).

Almost surely, 2^{314144224224033} is an apocalyptic number.

It is an amenable number.

314144224224033 is a deficient number, since it is larger than the sum of its proper divisors (209731137311967).

314144224224033 is a wasteful number, since it uses less digits than its factorization.

314144224224033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303168707 (or 303168693 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 314144224224033 its reverse (330422422441413), we get a palindrome (644566646665446).

The spelling of 314144224224033 in words is "three hundred fourteen trillion, one hundred forty-four billion, two hundred twenty-four million, two hundred twenty-four thousand, thirty-three".