10446306332153 has 2 divisors, whose sum is σ = 10446306332154. Its totient is φ = 10446306332152.

The previous prime is 10446306332041. The next prime is 10446306332213. The reversal of 10446306332153 is 35123360364401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8785373064169 + 1660933267984 = 2964013^2 + 1288772^2 .

It is a cyclic number.

It is not a de Polignac number, because 10446306332153 - 2¹⁰ = 10446306331129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10446306332153.

It is not a weakly prime, because it can be changed into another prime (10446306337153) 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, 5223153166076 + 5223153166077.

It is an arithmetic number, because the mean of its divisors is an integer number (5223153166077).

Almost surely, 2^{10446306332153} is an apocalyptic number.

It is an amenable number.

10446306332153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10446306332153 is an equidigital number, since it uses as much as digits as its factorization.

10446306332153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 41.

Adding to 10446306332153 its reverse (35123360364401), we get a palindrome (45569666696554).

The spelling of 10446306332153 in words is "ten trillion, four hundred forty-six billion, three hundred six million, three hundred thirty-two thousand, one hundred fifty-three".