71124633642117 has 64 divisors (see below), whose sum is σ = 106416134553600. Its totient is φ = 41892735487680.

The previous prime is 71124633642071. The next prime is 71124633642149.

71124633642117 is nontrivially palindromic in base 10.

71124633642117 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 71124633642117 - 2⁶ = 71124633642053 is a prime.

It is a super-2 number, since 2×71124633642117² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71124633642157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49555134 + ... + 50970192.

It is an arithmetic number, because the mean of its divisors is an integer number (1662752102400).

Almost surely, 2^{71124633642117} is an apocalyptic number.

It is an amenable number.

71124633642117 is a deficient number, since it is larger than the sum of its proper divisors (35291500911483).

71124633642117 is a wasteful number, since it uses less digits than its factorization.

71124633642117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415446.

The product of its digits is 1016064, while the sum is 48.

The spelling of 71124633642117 in words is "seventy-one trillion, one hundred twenty-four billion, six hundred thirty-three million, six hundred forty-two thousand, one hundred seventeen".