4500248861641 has 81 divisors (see below), whose sum is σ = 5377465709343. Its totient is φ = 3763496056320.

The previous prime is 4500248861629. The next prime is 4500248861651. The reversal of 4500248861641 is 1461688420054.

The square root of 4500248861641 is 2121379.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2567592821641 + 1932656040000 = 1602371^2 + 1390200^2 .

It is not a de Polignac number, because 4500248861641 - 2¹⁷ = 4500248730569 is a prime.

It is a super-2 number, since 2×4500248861641² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4500248861611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13595917846 + ... + 13595918176.

Almost surely, 2^{4500248861641} is an apocalyptic number.

4500248861641 is the 2121379-th square number.

4500248861641 is the 1060690-th centered octagonal number.

It is an amenable number.

4500248861641 is a deficient number, since it is larger than the sum of its proper divisors (877216847702).

4500248861641 is an equidigital number, since it uses as much as digits as its factorization.

4500248861641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

Multiplying 4500248861641 by its sum of digits (49), we get a square (220512194220409 = 14849653²).

The spelling of 4500248861641 in words is "four trillion, five hundred billion, two hundred forty-eight million, eight hundred sixty-one thousand, six hundred forty-one".