314755066017 has 24 divisors (see below), whose sum is σ = 524451710016. Its totient is φ = 178179098976.

The previous prime is 314755066007. The next prime is 314755066061. The reversal of 314755066017 is 710660557413.

314755066017 is a `hidden beast` number, since 3 + 1 + 4 + 75 + 506 + 60 + 17 = 666.

It is not a de Polignac number, because 314755066017 - 2⁸ = 314755065761 is a prime.

It is a super-4 number, since 4×314755066017⁴ (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (314755066007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23339578 + ... + 23353059.

It is an arithmetic number, because the mean of its divisors is an integer number (21852154584).

Almost surely, 2^314755066017 is an apocalyptic number.

It is an amenable number.

314755066017 is a deficient number, since it is larger than the sum of its proper divisors (209696643999).

314755066017 is a wasteful number, since it uses less digits than its factorization.

314755066017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46692757 (or 46692754 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 314755066017 in words is "three hundred fourteen billion, seven hundred fifty-five million, sixty-six thousand, seventeen".