10082644446281 has 8 divisors (see below), whose sum is σ = 10999322819904. Its totient is φ = 9165978461520.

The previous prime is 10082644446263. The next prime is 10082644446313. The reversal of 10082644446281 is 18264444628001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10082644446281 - 2²² = 10082640251977 is a prime.

It is a super-2 number, since 2×10082644446281² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10082644446181) 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 7 ways as a sum of consecutive naturals, for example, 1352810 + ... + 4689923.

It is an arithmetic number, because the mean of its divisors is an integer number (1374915352488).

Almost surely, 2^{10082644446281} is an apocalyptic number.

10082644446281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10082644446281 is a deficient number, since it is larger than the sum of its proper divisors (916678373623).

10082644446281 is a wasteful number, since it uses less digits than its factorization.

10082644446281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194431.

The product of its (nonzero) digits is 2359296, while the sum is 50.

It can be divided in two parts, 1008264 and 4446281, that added together give a palindrome (5454545).

The spelling of 10082644446281 in words is "ten trillion, eighty-two billion, six hundred forty-four million, four hundred forty-six thousand, two hundred eighty-one".