2009861948416 has 99 divisors (see below), whose sum is σ = 4674460721709. Its totient is φ = 861233307648.

The previous prime is 2009861948411. The next prime is 2009861948459. The reversal of 2009861948416 is 6148491689002.

The square root of 2009861948416 is 1417696.

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., 1533872342016 + 475989606400 = 1238496^2 + 689920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2009861948411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 317560740 + ... + 317567068.

Almost surely, 2^{2009861948416} is an apocalyptic number.

2009861948416 is the 1417696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009861948416

2009861948416 is an abundant number, since it is smaller than the sum of its proper divisors (2664598773293).

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

2009861948416 is an frugal number, since it uses more digits than its factorization.

2009861948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12692 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The spelling of 2009861948416 in words is "two trillion, nine billion, eight hundred sixty-one million, nine hundred forty-eight thousand, four hundred sixteen".