164241142461 has 12 divisors (see below), whose sum is σ = 258804224640. Its totient is φ = 99540086280.

The previous prime is 164241142453. The next prime is 164241142463.

164241142461 is a `hidden beast` number, since 1 + 64 + 24 + 114 + 2 + 461 = 666.

164241142461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164241142461 - 2³ = 164241142453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164241142463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 829500621 + ... + 829500818.

It is an arithmetic number, because the mean of its divisors is an integer number (21567018720).

Almost surely, 2^164241142461 is an apocalyptic number.

164241142461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164241142461 is a deficient number, since it is larger than the sum of its proper divisors (94563082179).

164241142461 is a wasteful number, since it uses less digits than its factorization.

164241142461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659001456 (or 1659001453 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 164241142461 in words is "one hundred sixty-four billion, two hundred forty-one million, one hundred forty-two thousand, four hundred sixty-one".