161559955161 has 96 divisors (see below), whose sum is σ = 266331542400. Its totient is φ = 96712704000.

The previous prime is 161559955121. The next prime is 161559955163.

It is a happy number.

161559955161 is a `hidden beast` number, since 1 + 615 + 5 + 9 + 9 + 5 + 5 + 16 + 1 = 666.

161559955161 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 161559955161 - 2¹⁰ = 161559954137 is a prime.

It is a super-2 number, since 2×161559955161² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161559955098 and 161559955107.

It is not an unprimeable number, because it can be changed into a prime (161559955163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210090585 + ... + 210091353.

It is an arithmetic number, because the mean of its divisors is an integer number (2774286900).

Almost surely, 2^161559955161 is an apocalyptic number.

161559955161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

161559955161 is a deficient number, since it is larger than the sum of its proper divisors (104771587239).

161559955161 is a wasteful number, since it uses less digits than its factorization.

161559955161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1491 counting only the distinct ones).

The product of its digits is 1822500, while the sum is 54.

The spelling of 161559955161 in words is "one hundred sixty-one billion, five hundred fifty-nine million, nine hundred fifty-five thousand, one hundred sixty-one".