10072144012047 has 16 divisors (see below), whose sum is σ = 14463382143840. Its totient is φ = 6197892590592.

The previous prime is 10072144011971. The next prime is 10072144012057. The reversal of 10072144012047 is 74021044127001.

It is not a de Polignac number, because 10072144012047 - 2⁸ = 10072144011791 is a prime.

It is a super-2 number, since 2×10072144012047² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10072144011999 and 10072144012017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072144012057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6588522 + ... + 7972007.

It is an arithmetic number, because the mean of its divisors is an integer number (903961383990).

Almost surely, 2^{10072144012047} is an apocalyptic number.

10072144012047 is a deficient number, since it is larger than the sum of its proper divisors (4391238131793).

10072144012047 is a wasteful number, since it uses less digits than its factorization.

10072144012047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14578282.

The product of its (nonzero) digits is 12544, while the sum is 33.

Adding to 10072144012047 its reverse (74021044127001), we get a palindrome (84093188139048).

The spelling of 10072144012047 in words is "ten trillion, seventy-two billion, one hundred forty-four million, twelve thousand, forty-seven".