164451262154461 has 96 divisors (see below), whose sum is σ = 176464376985600. Its totient is φ = 153107480448000.

The previous prime is 164451262154429. The next prime is 164451262154479.

164451262154461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164451262154461 - 2⁵ = 164451262154429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164451262154399 and 164451262154408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164451262155461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251839604811 + ... + 251839605463.

It is an arithmetic number, because the mean of its divisors is an integer number (1838170593600).

Almost surely, 2^{164451262154461} is an apocalyptic number.

It is an amenable number.

164451262154461 is a deficient number, since it is larger than the sum of its proper divisors (12013114831139).

164451262154461 is a wasteful number, since it uses less digits than its factorization.

164451262154461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1050 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 52.

The spelling of 164451262154461 in words is "one hundred sixty-four trillion, four hundred fifty-one billion, two hundred sixty-two million, one hundred fifty-four thousand, four hundred sixty-one".