18282645224041 has 9 divisors (see below), whose sum is σ = 20095851820989. Its totient is φ = 16620543809100.

The previous prime is 18282645224021. The next prime is 18282645224069. The reversal of 18282645224041 is 14042254628281.

The square root of 18282645224041 is 4275821.

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

It is not a de Polignac number, because 18282645224041 - 2¹⁷ = 18282645092969 is a prime.

It is a super-3 number, since 3×18282645224041³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18282645224021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46839676 + ... + 47228386.

Almost surely, 2^{18282645224041} is an apocalyptic number.

18282645224041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

18282645224041 is the 4275821-st square number.

18282645224041 is the 2137911-st centered octagonal number.

It is an amenable number.

18282645224041 is a deficient number, since it is larger than the sum of its proper divisors (1813206596948).

18282645224041 is an frugal number, since it uses more digits than its factorization.

18282645224041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777444 (or 388722 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 49.

Multiplying 18282645224041 by its sum of digits (49), we get a square (895849615978009 = 29930747²).

The spelling of 18282645224041 in words is "eighteen trillion, two hundred eighty-two billion, six hundred forty-five million, two hundred twenty-four thousand, forty-one".