10471644224064 has 189 divisors, whose sum is σ = 30317480307387. Its totient is φ = 3455728800768.

The previous prime is 10471644223979. The next prime is 10471644224123. The reversal of 10471644224064 is 46042244617401.

The square root of 10471644224064 is 3235992.

It is a perfect power (a square), and thus also a powerful number.

10471644224064 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 164 + 422 + 4 + 0 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2150680910400 + 8320963313664 = 1466520^2 + 2884608^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 8465354454 + ... + 8465355690.

Almost surely, 2^{10471644224064} is an apocalyptic number.

10471644224064 is the 3235992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10471644224064

10471644224064 is an abundant number, since it is smaller than the sum of its proper divisors (19845836083323).

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

10471644224064 is an frugal number, since it uses more digits than its factorization.

10471644224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 10471644224064 in words is "ten trillion, four hundred seventy-one billion, six hundred forty-four million, two hundred twenty-four thousand, sixty-four".