10455834928081 has 2 divisors, whose sum is σ = 10455834928082. Its totient is φ = 10455834928080.

The previous prime is 10455834928079. The next prime is 10455834928171. The reversal of 10455834928081 is 18082943855401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5897204269056 + 4558630659025 = 2428416^2 + 2135095^2 .

It is an emirp because it is prime and its reverse (18082943855401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10455834928081 - 2¹ = 10455834928079 is a prime.

It is a super-2 number, since 2×10455834928081² (a number of 27 digits) contains 22 as substring.

Together with 10455834928079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10455834928051) 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 as a sum of consecutive naturals, namely, 5227917464040 + 5227917464041.

It is an arithmetic number, because the mean of its divisors is an integer number (5227917464041).

Almost surely, 2^{10455834928081} is an apocalyptic number.

It is an amenable number.

10455834928081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10455834928081 is an equidigital number, since it uses as much as digits as its factorization.

10455834928081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11059200, while the sum is 58.

The spelling of 10455834928081 in words is "ten trillion, four hundred fifty-five billion, eight hundred thirty-four million, nine hundred twenty-eight thousand, eighty-one".