117927806334849 has 81 divisors (see below), whose sum is σ = 199321373999241. Its totient is φ = 66991555854720.

The previous prime is 117927806334773. The next prime is 117927806334883. The reversal of 117927806334849 is 948433608729711.

The square root of 117927806334849 is 10859457.

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

117927806334849 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 2 + 7 + 80 + 63 + 3 + 484 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27387481223025 + 90540325111824 = 5233305^2 + 9515268^2 .

It is not a de Polignac number, because 117927806334849 - 2¹¹ = 117927806332801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117927806332849) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41276794629 + ... + 41276797485.

Almost surely, 2^{117927806334849} is an apocalyptic number.

117927806334849 is the 10859457-th square number.

117927806334849 is the 5429729-th centered octagonal number.

It is an amenable number.

117927806334849 is a deficient number, since it is larger than the sum of its proper divisors (81393567664392).

117927806334849 is an frugal number, since it uses more digits than its factorization.

117927806334849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6096 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 117927806334849 in words is "one hundred seventeen trillion, nine hundred twenty-seven billion, eight hundred six million, three hundred thirty-four thousand, eight hundred forty-nine".