4759344144 has 45 divisors (see below), whose sum is σ = 13321870653. Its totient is φ = 1586172096.

The previous prime is 4759344131. The next prime is 4759344173. The reversal of 4759344144 is 4414439574.

The square root of 4759344144 is 68988.

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

4759344144 is a `hidden beast` number, since 4 + 7 + 593 + 44 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80784144 + 4678560000 = 8988^2 + 68400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4759344144.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 824982 + ... + 830730.

Almost surely, 2^4759344144 is an apocalyptic number.

4759344144 is the 68988-th square number.

It is an amenable number.

4759344144 is an abundant number, since it is smaller than the sum of its proper divisors (8562526509).

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

4759344144 is an frugal number, since it uses more digits than its factorization.

4759344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11512 (or 5754 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The cubic root of 4759344144 is about 1682.0892544596.

The spelling of 4759344144 in words is "four billion, seven hundred fifty-nine million, three hundred forty-four thousand, one hundred forty-four".