1364681344 has 64 divisors (see below), whose sum is σ = 2969326080. Its totient is φ = 620928000.

The previous prime is 1364681321. The next prime is 1364681359. The reversal of 1364681344 is 4431864631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1364681297 and 1364681306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112369 + ... + 123919.

It is an arithmetic number, because the mean of its divisors is an integer number (46395720).

Almost surely, 2^1364681344 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 1364681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484663040).

1364681344 is an abundant number, since it is smaller than the sum of its proper divisors (1604644736).

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

1364681344 is a wasteful number, since it uses less digits than its factorization.

1364681344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11649 (or 11637 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 1364681344 is about 36941.5936851674. The cubic root of 1364681344 is about 1109.2014232843.

The spelling of 1364681344 in words is "one billion, three hundred sixty-four million, six hundred eighty-one thousand, three hundred forty-four".