1314464914944 has 120 divisors (see below), whose sum is σ = 3801764383560. Its totient is φ = 437216022528.

The previous prime is 1314464914883. The next prime is 1314464914949. The reversal of 1314464914944 is 4494194644131.

1314464914944 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 64 + 91 + 494 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314464914949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1846522 + ... + 2457350.

It is an arithmetic number, because the mean of its divisors is an integer number (31681369863).

Almost surely, 2^{1314464914944} 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 1314464914944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900882191780).

1314464914944 is an abundant number, since it is smaller than the sum of its proper divisors (2487299468616).

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

1314464914944 is an equidigital number, since it uses as much as digits as its factorization.

1314464914944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611320 (or 611301 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 1314464914944 in words is "one trillion, three hundred fourteen billion, four hundred sixty-four million, nine hundred fourteen thousand, nine hundred forty-four".