71483638417 has 8 divisors (see below), whose sum is σ = 74982159360. Its totient is φ = 68017662240.

The previous prime is 71483638411. The next prime is 71483638483.

71483638417 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71483638417 is a prime.

It is a super-4 number, since 4×71483638417⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71483638411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8131692 + ... + 8140477.

It is an arithmetic number, because the mean of its divisors is an integer number (9372769920).

Almost surely, 2^71483638417 is an apocalyptic number.

It is an amenable number.

71483638417 is a deficient number, since it is larger than the sum of its proper divisors (3498520943).

71483638417 is a wasteful number, since it uses less digits than its factorization.

71483638417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16272383.

The product of its digits is 2709504, while the sum is 52.

The spelling of 71483638417 in words is "seventy-one billion, four hundred eighty-three million, six hundred thirty-eight thousand, four hundred seventeen".