314345000032 has 24 divisors (see below), whose sum is σ = 707276250576. Its totient is φ = 134719285632.

The previous prime is 314345000029. The next prime is 314345000059. The reversal of 314345000032 is 230000543413.

It is a junction number, because it is equal to n+sod(n) for n = 314344999970 and 314345000006.

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 3 ways as a sum of consecutive naturals, for example, 701662723 + ... + 701663170.

It is an arithmetic number, because the mean of its divisors is an integer number (29469843774).

Almost surely, 2^314345000032 is an apocalyptic number.

314345000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314345000032 is an abundant number, since it is smaller than the sum of its proper divisors (392931250544).

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

314345000032 is a wasteful number, since it uses less digits than its factorization.

314345000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403325910 (or 1403325902 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 314345000032 its reverse (230000543413), we get a palindrome (544345543445).

The spelling of 314345000032 in words is "three hundred fourteen billion, three hundred forty-five million, thirty-two", and thus it is an aban number.