3013307148544 has 243 divisors, whose sum is σ = 7696224384681. Its totient is φ = 1173182545920.

The previous prime is 3013307148521. The next prime is 3013307148557. The reversal of 3013307148544 is 4458417033103.

The square root of 3013307148544 is 1735888.

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

It can be written as a sum of positive squares in only one way, i.e., 38372108544 + 2974935040000 = 195888^2 + 1724800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3013307148544.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2138613312 + ... + 2138614720.

Almost surely, 2^{3013307148544} is an apocalyptic number.

3013307148544 is the 1735888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013307148544

3013307148544 is an abundant number, since it is smaller than the sum of its proper divisors (4682917236137).

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

3013307148544 is an frugal number, since it uses more digits than its factorization.

3013307148544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 3013307148544 in words is "three trillion, thirteen billion, three hundred seven million, one hundred forty-eight thousand, five hundred forty-four".