1314430332345 has 48 divisors (see below), whose sum is σ = 2456222884752. Its totient is φ = 646413281280.

The previous prime is 1314430332337. The next prime is 1314430332431. The reversal of 1314430332345 is 5432330344131.

1314430332345 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 303 + 3 + 2 + 345 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 373747599801 + 940682732544 = 611349^2 + 969888^2 .

It is not a de Polignac number, because 1314430332345 - 2³ = 1314430332337 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 650836 + ... + 1747125.

It is an arithmetic number, because the mean of its divisors is an integer number (51171310099).

Almost surely, 2^{1314430332345} is an apocalyptic number.

1314430332345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1314430332345 is a deficient number, since it is larger than the sum of its proper divisors (1141792552407).

1314430332345 is a wasteful number, since it uses less digits than its factorization.

1314430332345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398922 (or 2398919 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 1314430332345 its reverse (5432330344131), we get a palindrome (6746760676476).

The spelling of 1314430332345 in words is "one trillion, three hundred fourteen billion, four hundred thirty million, three hundred thirty-two thousand, three hundred forty-five".