117671445436609 has 27 divisors (see below), whose sum is σ = 121118871142857. Its totient is φ = 114321008641248.

The previous prime is 117671445436543. The next prime is 117671445436637. The reversal of 117671445436609 is 906634544176711.

The square root of 117671445436609 is 10847647.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37590423996609 + 80081021440000 = 6131103^2 + 8948800^2 .

It is not a de Polignac number, because 117671445436609 - 2⁷ = 117671445436481 is a prime.

It is a super-2 number, since 2×117671445436609² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117671445439609) 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 26 ways as a sum of consecutive naturals, for example, 75966071167 + ... + 75966072715.

Almost surely, 2^{117671445436609} is an apocalyptic number.

117671445436609 is the 10847647-th square number.

117671445436609 is the 5423824-th centered octagonal number.

It is an amenable number.

117671445436609 is a deficient number, since it is larger than the sum of its proper divisors (3447425706248).

117671445436609 is an frugal number, since it uses more digits than its factorization.

117671445436609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 64.

The spelling of 117671445436609 in words is "one hundred seventeen trillion, six hundred seventy-one billion, four hundred forty-five million, four hundred thirty-six thousand, six hundred nine".