5724113670144 has 351 divisors, whose sum is σ = 17588123054463. Its totient is φ = 1793350434816.

The previous prime is 5724113670133. The next prime is 5724113670199. The reversal of 5724113670144 is 4410763114275.

The square root of 5724113670144 is 2392512.

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

5724113670144 is a `hidden beast` number, since 5 + 7 + 241 + 1 + 367 + 0 + 1 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3694514540544 + 2029599129600 = 1922112^2 + 1424640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5724113670144.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 7809158802 + ... + 7809159534.

Almost surely, 2^{5724113670144} is an apocalyptic number.

5724113670144 is the 2392512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5724113670144

5724113670144 is an abundant number, since it is smaller than the sum of its proper divisors (11864009384319).

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

5724113670144 is an frugal number, since it uses more digits than its factorization.

5724113670144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 5724113670144 in words is "five trillion, seven hundred twenty-four billion, one hundred thirteen million, six hundred seventy thousand, one hundred forty-four".