108823306649281 has 27 divisors (see below), whose sum is σ = 130808386471203. Its totient is φ = 90266302899360.

The previous prime is 108823306649269. The next prime is 108823306649399. The reversal of 108823306649281 is 182946603328801.

The square root of 108823306649281 is 10431841.

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., 85716211473025 + 23107095176256 = 9258305^2 + 4806984^2 .

It is not a de Polignac number, because 108823306649281 - 2¹³ = 108823306641089 is a prime.

It is a super-2 number, since 2×108823306649281² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (108823306649261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2263685461 + ... + 2263733533.

It is an arithmetic number, because the mean of its divisors is an integer number (4844755054489).

Almost surely, 2^{108823306649281} is an apocalyptic number.

108823306649281 is the 10431841-st square number.

108823306649281 is the 5215921-st centered octagonal number.

It is an amenable number.

108823306649281 is a deficient number, since it is larger than the sum of its proper divisors (21985079821922).

108823306649281 is an frugal number, since it uses more digits than its factorization.

108823306649281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96222 (or 48111 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 61.

The spelling of 108823306649281 in words is "one hundred eight trillion, eight hundred twenty-three billion, three hundred six million, six hundred forty-nine thousand, two hundred eighty-one".