314320331004225 has 192 divisors, whose sum is σ = 642906784665600. Its totient is φ = 131951049753600.

The previous prime is 314320331004157. The next prime is 314320331004227. The reversal of 314320331004225 is 522400133023413.

It is not a de Polignac number, because 314320331004225 - 2¹⁶ = 314320330938689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314320331004227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13944371455 + ... + 13944393995.

It is an arithmetic number, because the mean of its divisors is an integer number (3348472836800).

Almost surely, 2^{314320331004225} is an apocalyptic number.

314320331004225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

314320331004225 is an abundant number, since it is smaller than the sum of its proper divisors (328586453661375).

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

314320331004225 is a wasteful number, since it uses less digits than its factorization.

314320331004225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33040 (or 33035 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 314320331004225 its reverse (522400133023413), we get a palindrome (836720464027638).

The spelling of 314320331004225 in words is "three hundred fourteen trillion, three hundred twenty billion, three hundred thirty-one million, four thousand, two hundred twenty-five".