314455145023305 has 128 divisors (see below), whose sum is σ = 656834439905280. Its totient is φ = 140720102496000.

The previous prime is 314455145023241. The next prime is 314455145023403. The reversal of 314455145023305 is 503320541554413.

314455145023305 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 551 + 45 + 0 + 23 + 30 + 5 = 666.

It is not a de Polignac number, because 314455145023305 - 2⁶ = 314455145023241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180426000 + ... + 182160510.

It is an arithmetic number, because the mean of its divisors is an integer number (5131519061760).

Almost surely, 2^{314455145023305} is an apocalyptic number.

It is an amenable number.

314455145023305 is an abundant number, since it is smaller than the sum of its proper divisors (342379294881975).

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

314455145023305 is a wasteful number, since it uses less digits than its factorization.

314455145023305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743940 (or 1743934 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 314455145023305 its reverse (503320541554413), we get a palindrome (817775686577718).

The spelling of 314455145023305 in words is "three hundred fourteen trillion, four hundred fifty-five billion, one hundred forty-five million, twenty-three thousand, three hundred five".