2186648327824 has 45 divisors (see below), whose sum is σ = 4471577359977. Its totient is φ = 1035727552512.

The previous prime is 2186648327819. The next prime is 2186648327827. The reversal of 2186648327824 is 4287238466812.

It is a happy number.

The square root of 2186648327824 is 1478732.

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., 1775982675600 + 410665652224 = 1332660^2 + 640832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2186648327827) 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, 112373904 + ... + 112393360.

Almost surely, 2^{2186648327824} is an apocalyptic number.

2186648327824 is the 1478732-nd square number.

It is an amenable number.

2186648327824 is an abundant number, since it is smaller than the sum of its proper divisors (2284929032153).

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

2186648327824 is an frugal number, since it uses more digits than its factorization.

2186648327824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38960 (or 19478 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 61.

The spelling of 2186648327824 in words is "two trillion, one hundred eighty-six billion, six hundred forty-eight million, three hundred twenty-seven thousand, eight hundred twenty-four".