164633808336461 has 16 divisors (see below), whose sum is σ = 169194398736000. Its totient is φ = 160106745415680.

The previous prime is 164633808336337. The next prime is 164633808336521.

164633808336461 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 164633808336461 - 2¹⁸ = 164633808074317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164633808336394 and 164633808336403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164633808336661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51859040 + ... + 54942038.

It is an arithmetic number, because the mean of its divisors is an integer number (10574649921000).

Almost surely, 2^{164633808336461} is an apocalyptic number.

It is an amenable number.

164633808336461 is a deficient number, since it is larger than the sum of its proper divisors (4560590399539).

164633808336461 is a wasteful number, since it uses less digits than its factorization.

164633808336461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088436.

The product of its (nonzero) digits is 107495424, while the sum is 62.

The spelling of 164633808336461 in words is "one hundred sixty-four trillion, six hundred thirty-three billion, eight hundred eight million, three hundred thirty-six thousand, four hundred sixty-one".