314123552512 has 144 divisors (see below), whose sum is σ = 783934502400. Its totient is φ = 122042142720.

The previous prime is 314123552441. The next prime is 314123552521. The reversal of 314123552512 is 215255321413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7054414 + ... + 7098802.

It is an arithmetic number, because the mean of its divisors is an integer number (5443989600).

Almost surely, 2^314123552512 is an apocalyptic number.

314123552512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314123552512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391967251200).

314123552512 is an abundant number, since it is smaller than the sum of its proper divisors (469810949888).

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

314123552512 is a wasteful number, since it uses less digits than its factorization.

314123552512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44782 (or 44768 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

Adding to 314123552512 its reverse (215255321413), we get a palindrome (529378873925).

The spelling of 314123552512 in words is "three hundred fourteen billion, one hundred twenty-three million, five hundred fifty-two thousand, five hundred twelve".