117567380161 has 81 divisors (see below), whose sum is σ = 154952220969. Its totient is φ = 88874755200.

The previous prime is 117567380107. The next prime is 117567380171. The reversal of 117567380161 is 161083765711.

The square root of 117567380161 is 342881.

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 30686280625 + 86881099536 = 175175^2 + 294756^2 .

It is not a de Polignac number, because 117567380161 - 2⁷ = 117567380033 is a prime.

It is a super-3 number, since 3×117567380161³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (117567380171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1610512021 + ... + 1610512093.

Almost surely, 2^117567380161 is an apocalyptic number.

117567380161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

117567380161 is the 342881-st square number.

117567380161 is the 171441-st centered octagonal number.

It is an amenable number.

117567380161 is a deficient number, since it is larger than the sum of its proper divisors (37384840808).

117567380161 is an frugal number, since it uses more digits than its factorization.

117567380161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 46.

The spelling of 117567380161 in words is "one hundred seventeen billion, five hundred sixty-seven million, three hundred eighty thousand, one hundred sixty-one".