71606171733849 has 21 divisors (see below), whose sum is σ = 107360487557263. Its totient is φ = 47737295505792.

The previous prime is 71606171733797. The next prime is 71606171733893. The reversal of 71606171733849 is 94833717160617.

The square root of 71606171733849 is 8462043.

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

71606171733849 is a `hidden beast` number, since 7 + 1 + 6 + 0 + 617 + 1 + 7 + 3 + 3 + 8 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57415581372249 + 14190590361600 = 7577307^2 + 3767040^2 .

It is not a de Polignac number, because 71606171733849 - 2²⁷ = 71606037516121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71606171033849) 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 20 ways as a sum of consecutive naturals, for example, 228318457 + ... + 228631865.

Almost surely, 2^{71606171733849} is an apocalyptic number.

71606171733849 is the 8462043-rd square number.

71606171733849 is the 4231022-nd centered octagonal number.

It is an amenable number.

71606171733849 is a deficient number, since it is larger than the sum of its proper divisors (35754315823414).

71606171733849 is an frugal number, since it uses more digits than its factorization.

71606171733849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626836 (or 313412 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 71606171733849 in words is "seventy-one trillion, six hundred six billion, one hundred seventy-one million, seven hundred thirty-three thousand, eight hundred forty-nine".