164505214164041 has 8 divisors (see below), whose sum is σ = 165306231120000. Its totient is φ = 163704915935280.

The previous prime is 164505214163999. The next prime is 164505214164059. The reversal of 164505214164041 is 140461412505461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164505214164041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164505214163983 and 164505214164001.

It is not an unprimeable number, because it can be changed into a prime (164505214164541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179222915 + ... + 180138456.

It is an arithmetic number, because the mean of its divisors is an integer number (20663278890000).

Almost surely, 2^{164505214164041} is an apocalyptic number.

It is an amenable number.

164505214164041 is a deficient number, since it is larger than the sum of its proper divisors (801016955959).

164505214164041 is a wasteful number, since it uses less digits than its factorization.

164505214164041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359363599.

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 164505214164041 in words is "one hundred sixty-four trillion, five hundred five billion, two hundred fourteen million, one hundred sixty-four thousand, forty-one".