13144378464 has 384 divisors, whose sum is σ = 45413222400. Its totient is φ = 3620505600.

The previous prime is 13144378463. The next prime is 13144378483. The reversal of 13144378464 is 46487344131.

13144378464 is a `hidden beast` number, since 13 + 144 + 37 + 8 + 464 = 666.

13144378464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13144378463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33789982 + ... + 33790370.

It is an arithmetic number, because the mean of its divisors is an integer number (118263600).

Almost surely, 2^13144378464 is an apocalyptic number.

13144378464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13144378464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22706611200).

13144378464 is an abundant number, since it is smaller than the sum of its proper divisors (32268843936).

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

13144378464 is a wasteful number, since it uses less digits than its factorization.

13144378464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 589 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 13144378464 in words is "thirteen billion, one hundred forty-four million, three hundred seventy-eight thousand, four hundred sixty-four".