164382283461 has 64 divisors (see below), whose sum is σ = 246511641600. Its totient is φ = 96600768000.

The previous prime is 164382283447. The next prime is 164382283463.

164382283461 is nontrivially palindromic in base 10.

164382283461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164382283461 - 2²² = 164378089157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164382283461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164382283463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31737570 + ... + 31742748.

It is an arithmetic number, because the mean of its divisors is an integer number (3851744400).

Almost surely, 2^164382283461 is an apocalyptic number.

164382283461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164382283461 is a deficient number, since it is larger than the sum of its proper divisors (82129358139).

164382283461 is a wasteful number, since it uses less digits than its factorization.

164382283461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490.

The product of its digits is 1327104, while the sum is 48.

The spelling of 164382283461 in words is "one hundred sixty-four billion, three hundred eighty-two million, two hundred eighty-three thousand, four hundred sixty-one".