10164441201064 has 32 divisors (see below), whose sum is σ = 19371132478440. Its totient is φ = 4998809088000.

The previous prime is 10164441201053. The next prime is 10164441201071. The reversal of 10164441201064 is 46010214446101.

It can be written as a sum of positive squares in 4 ways, for example, as 7830091132900 + 2334350068164 = 2798230^2 + 1527858^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29672364 + ... + 30012964.

Almost surely, 2^{10164441201064} is an apocalyptic number.

It is an amenable number.

10164441201064 is a deficient number, since it is larger than the sum of its proper divisors (9206691277376).

10164441201064 is a wasteful number, since it uses less digits than its factorization.

10164441201064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401821 (or 401817 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

Adding to 10164441201064 its reverse (46010214446101), we get a palindrome (56174655647165).

The spelling of 10164441201064 in words is "ten trillion, one hundred sixty-four billion, four hundred forty-one million, two hundred one thousand, sixty-four".