1314045344624 has 160 divisors (see below), whose sum is σ = 2895174696960. Its totient is φ = 574480684800.

The previous prime is 1314045344597. The next prime is 1314045344629. The reversal of 1314045344624 is 4264435404131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314045344629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75204209 + ... + 75221679.

It is an arithmetic number, because the mean of its divisors is an integer number (18094841856).

Almost surely, 2^{1314045344624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314045344624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447587348480).

1314045344624 is an abundant number, since it is smaller than the sum of its proper divisors (1581129352336).

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

1314045344624 is a wasteful number, since it uses less digits than its factorization.

1314045344624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17899 (or 17893 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

The spelling of 1314045344624 in words is "one trillion, three hundred fourteen billion, forty-five million, three hundred forty-four thousand, six hundred twenty-four".