10446475264 has 39 divisors (see below), whose sum is σ = 20903489337. Its totient is φ = 5219966976.

The previous prime is 10446475241. The next prime is 10446475279. The reversal of 10446475264 is 46257464401.

The square root of 10446475264 is 102208.

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., 2093977600 + 8352497664 = 45760^2 + 91392^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10446475264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6540514 + ... + 6542110.

Almost surely, 2^10446475264 is an apocalyptic number.

10446475264 is the 102208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10446475264

10446475264 is an abundant number, since it is smaller than the sum of its proper divisors (10457014073).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10446475264 is an frugal number, since it uses more digits than its factorization.

10446475264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 10446475264 in words is "ten billion, four hundred forty-six million, four hundred seventy-five thousand, two hundred sixty-four".