1314029664 has 144 divisors (see below), whose sum is σ = 4030069680. Its totient is φ = 404766720.

The previous prime is 1314029627. The next prime is 1314029669. The reversal of 1314029664 is 4669204131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314029669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221424 + ... + 227280.

It is an arithmetic number, because the mean of its divisors is an integer number (27986595).

Almost surely, 2^1314029664 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 1314029664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015034840).

1314029664 is an abundant number, since it is smaller than the sum of its proper divisors (2716040016).

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

1314029664 is a wasteful number, since it uses less digits than its factorization.

1314029664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1314029664 is about 36249.5470868258. The cubic root of 1314029664 is about 1095.3049654105.

The spelling of 1314029664 in words is "one billion, three hundred fourteen million, twenty-nine thousand, six hundred sixty-four".