244518382144 has 63 divisors (see below), whose sum is σ = 490444717737. Its totient is φ = 120955720704.

The previous prime is 244518382117. The next prime is 244518382153. The reversal of 244518382144 is 441283815442.

It is a happy number.

The square root of 244518382144 is 494488.

It is a perfect power (a square), and thus also a powerful number.

244518382144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4308609600 + 240209772544 = 65640^2 + 490112^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 244518382094 and 244518382103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 447016879 + ... + 447017425.

Almost surely, 2^244518382144 is an apocalyptic number.

244518382144 is the 494488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244518382144

244518382144 is an abundant number, since it is smaller than the sum of its proper divisors (245926335593).

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

244518382144 is an frugal number, since it uses more digits than its factorization.

244518382144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 662 counting only the distinct ones).

The product of its digits is 983040, while the sum is 46.

The spelling of 244518382144 in words is "two hundred forty-four billion, five hundred eighteen million, three hundred eighty-two thousand, one hundred forty-four".