1314045350320 has 20 divisors (see below), whose sum is σ = 3055155439680. Its totient is φ = 525618140096.

The previous prime is 1314045350311. The next prime is 1314045350327. The reversal of 1314045350320 is 230535404131.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1314045350320² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1314045350327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8212783360 + ... + 8212783519.

It is an arithmetic number, because the mean of its divisors is an integer number (152757771984).

Almost surely, 2^{1314045350320} is an apocalyptic number.

1314045350320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314045350320 is an abundant number, since it is smaller than the sum of its proper divisors (1741110089360).

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

1314045350320 is a wasteful number, since it uses less digits than its factorization.

1314045350320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16425566892 (or 16425566886 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 1314045350320 in words is "one trillion, three hundred fourteen billion, forty-five million, three hundred fifty thousand, three hundred twenty".