10446126625 has 48 divisors (see below), whose sum is σ = 14527500624. Its totient is φ = 7492320000.

The previous prime is 10446126623. The next prime is 10446126653. The reversal of 10446126625 is 52662164401.

10446126625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1885991184 + 8560135441 = 43428^2 + 92521^2 .

It is not a de Polignac number, because 10446126625 - 2¹ = 10446126623 is a prime.

It is a super-2 number, since 2×10446126625² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10446126623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1099395 + ... + 1108855.

It is an arithmetic number, because the mean of its divisors is an integer number (302656263).

Almost surely, 2^10446126625 is an apocalyptic number.

It is an amenable number.

10446126625 is a deficient number, since it is larger than the sum of its proper divisors (4081373999).

10446126625 is an equidigital number, since it uses as much as digits as its factorization.

10446126625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9571 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 10446126625 in words is "ten billion, four hundred forty-six million, one hundred twenty-six thousand, six hundred twenty-five".