10046071824064 has 56 divisors (see below), whose sum is σ = 20146091889600. Its totient is φ = 4969958092800.

The previous prime is 10046071824037. The next prime is 10046071824101. The reversal of 10046071824064 is 46042817064001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10046071824064.

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 7 ways as a sum of consecutive naturals, for example, 9103017 + ... + 10146775.

Almost surely, 2^{10046071824064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10046071824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10073045944800).

10046071824064 is an abundant number, since it is smaller than the sum of its proper divisors (10100020065536).

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

10046071824064 is a wasteful number, since it uses less digits than its factorization.

10046071824064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045361 (or 1045351 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

Adding to 10046071824064 its reverse (46042817064001), we get a palindrome (56088888888065).

The spelling of 10046071824064 in words is "ten trillion, forty-six billion, seventy-one million, eight hundred twenty-four thousand, sixty-four".