164451433024241 has 16 divisors (see below), whose sum is σ = 181224408412800. Its totient is φ = 147983026464000.

The previous prime is 164451433024189. The next prime is 164451433024243. The reversal of 164451433024241 is 142420334154461.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164451433024241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164451433024192 and 164451433024201.

It is not an unprimeable number, because it can be changed into a prime (164451433024243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14710061 + ... + 23351418.

It is an arithmetic number, because the mean of its divisors is an integer number (11326525525800).

Almost surely, 2^{164451433024241} is an apocalyptic number.

164451433024241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164451433024241 is a deficient number, since it is larger than the sum of its proper divisors (16772975388559).

164451433024241 is a wasteful number, since it uses less digits than its factorization.

164451433024241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38065480.

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 164451433024241 in words is "one hundred sixty-four trillion, four hundred fifty-one billion, four hundred thirty-three million, twenty-four thousand, two hundred forty-one".