81844282649089 has 9 divisors (see below), whose sum is σ = 81991602380547. Its totient is φ = 81697227191424.

The previous prime is 81844282648991. The next prime is 81844282649093. The reversal of 81844282649089 is 98094628244818.

The square root of 81844282649089 is 9046783.

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., 81277887930625 + 566394718464 = 9015425^2 + 752592^2 .

It is not a de Polignac number, because 81844282649089 - 2¹⁷ = 81844282518017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81844282649189) 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, 5219985952 + ... + 5220001630.

It is an arithmetic number, because the mean of its divisors is an integer number (9110178042283).

Almost surely, 2^{81844282649089} is an apocalyptic number.

81844282649089 is the 9046783-rd square number.

81844282649089 is the 4523392-nd centered octagonal number.

It is an amenable number.

81844282649089 is a deficient number, since it is larger than the sum of its proper divisors (147319731458).

81844282649089 is an frugal number, since it uses more digits than its factorization.

81844282649089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32512 (or 16256 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 73.

The spelling of 81844282649089 in words is "eighty-one trillion, eight hundred forty-four billion, two hundred eighty-two million, six hundred forty-nine thousand, eighty-nine".