1314413156664 has 96 divisors (see below), whose sum is σ = 3621780864000. Its totient is φ = 430524257856.

The previous prime is 1314413156659. The next prime is 1314413156681. The reversal of 1314413156664 is 4666513144131.

It is a happy number.

It is a super-2 number, since 2×1314413156664² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9869929 + ... + 10002215.

It is an arithmetic number, because the mean of its divisors is an integer number (37726884000).

Almost surely, 2^{1314413156664} 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 1314413156664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810890432000).

1314413156664 is an abundant number, since it is smaller than the sum of its proper divisors (2307367707336).

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

1314413156664 is a wasteful number, since it uses less digits than its factorization.

1314413156664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134697 (or 134690 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 1314413156664 in words is "one trillion, three hundred fourteen billion, four hundred thirteen million, one hundred fifty-six thousand, six hundred sixty-four".