71688668552 has 36 divisors (see below), whose sum is σ = 135421919685. Its totient is φ = 35578141920.

The previous prime is 71688668549. The next prime is 71688668567. The reversal of 71688668552 is 25586688617.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 43328087716 + 28360580836 = 208154^2 + 168406^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=189326.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 137071763 + ... + 137072285.

Almost surely, 2^71688668552 is an apocalyptic number.

It is an amenable number.

71688668552 is a deficient number, since it is larger than the sum of its proper divisors (63733251133).

71688668552 is an frugal number, since it uses more digits than its factorization.

71688668552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 706 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 62.

The spelling of 71688668552 in words is "seventy-one billion, six hundred eighty-eight million, six hundred sixty-eight thousand, five hundred fifty-two".