713844144 has 160 divisors (see below), whose sum is σ = 2336725440. Its totient is φ = 206696448.

The previous prime is 713844137. The next prime is 713844163. The reversal of 713844144 is 441448317.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 713844099 and 713844108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91734 + ... + 99210.

It is an arithmetic number, because the mean of its divisors is an integer number (14604534).

Almost surely, 2^713844144 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 713844144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168362720).

713844144 is an abundant number, since it is smaller than the sum of its proper divisors (1622881296).

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

713844144 is a wasteful number, since it uses less digits than its factorization.

713844144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7524 (or 7512 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 713844144 is about 26717.8618905031. The cubic root of 713844144 is about 893.7192938804.

The spelling of 713844144 in words is "seven hundred thirteen million, eight hundred forty-four thousand, one hundred forty-four".