314317460052 has 216 divisors, whose sum is σ = 882920054016. Its totient is φ = 94085139456.

The previous prime is 314317459979. The next prime is 314317460053. The reversal of 314317460052 is 250064713413.

314317460052 is a `hidden beast` number, since 3 + 1 + 43 + 1 + 7 + 4 + 600 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 314317459989 and 314317460016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314317460053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110790778 + ... + 110793614.

Almost surely, 2^314317460052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314317460052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441460027008).

314317460052 is an abundant number, since it is smaller than the sum of its proper divisors (568602593964).

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

314317460052 is a wasteful number, since it uses less digits than its factorization.

314317460052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 314317460052 in words is "three hundred fourteen billion, three hundred seventeen million, four hundred sixty thousand, fifty-two".