314144110432 has 96 divisors (see below), whose sum is σ = 659262965760. Its totient is φ = 147029498880.

The previous prime is 314144110429. The next prime is 314144110447. The reversal of 314144110432 is 234011441413.

It is a super-2 number, since 2×314144110432² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314144110432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9667332 + ... + 9699772.

It is an arithmetic number, because the mean of its divisors is an integer number (6867322560).

Almost surely, 2^314144110432 is an apocalyptic number.

314144110432 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 314144110432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329631482880).

314144110432 is an abundant number, since it is smaller than the sum of its proper divisors (345118855328).

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

314144110432 is a wasteful number, since it uses less digits than its factorization.

314144110432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32756 (or 32748 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 314144110432 its reverse (234011441413), we get a palindrome (548155551845).

The spelling of 314144110432 in words is "three hundred fourteen billion, one hundred forty-four million, one hundred ten thousand, four hundred thirty-two".