4752347680144 has 45 divisors (see below), whose sum is σ = 9536635556643. Its totient is φ = 2294114731776.

The previous prime is 4752347680121. The next prime is 4752347680151. The reversal of 4752347680144 is 4410867432574.

It is a happy number.

The square root of 4752347680144 is 2179988.

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

It can be written as a sum of positive squares in 4 ways, for example, as 321693152400 + 4430654527744 = 567180^2 + 2104912^2 .

It is a Duffinian number.

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, 252869212 + ... + 252888004.

Almost surely, 2^{4752347680144} is an apocalyptic number.

4752347680144 is the 2179988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4752347680144

4752347680144 is an abundant number, since it is smaller than the sum of its proper divisors (4784287876499).

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

4752347680144 is an frugal number, since it uses more digits than its factorization.

4752347680144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37652 (or 18824 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 55.

The spelling of 4752347680144 in words is "four trillion, seven hundred fifty-two billion, three hundred forty-seven million, six hundred eighty thousand, one hundred forty-four".