240167201601161 has 48 divisors (see below), whose sum is σ = 247244052815760. Its totient is φ = 233247826022400.

The previous prime is 240167201600999. The next prime is 240167201601169. The reversal of 240167201601161 is 161106102761042.

It can be written as a sum of positive squares in 8 ways, for example, as 35557607520400 + 204609594080761 = 5963020^2 + 14304181^2 .

It is not a de Polignac number, because 240167201601161 - 2¹⁴ = 240167201584777 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (240167201601169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81329900861 + ... + 81329903813.

It is an arithmetic number, because the mean of its divisors is an integer number (5150917766995).

Almost surely, 2^{240167201601161} is an apocalyptic number.

It is an amenable number.

240167201601161 is a deficient number, since it is larger than the sum of its proper divisors (7076851214599).

240167201601161 is a wasteful number, since it uses less digits than its factorization.

240167201601161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 240167201601161 in words is "two hundred forty trillion, one hundred sixty-seven billion, two hundred one million, six hundred one thousand, one hundred sixty-one".