164524363425461 has 8 divisors (see below), whose sum is σ = 177354990004920. Its totient is φ = 151718723462592.

The previous prime is 164524363425449. The next prime is 164524363425493.

164524363425461 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2491678035025 + 162032685390436 = 1578505^2 + 12729206^2 .

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

It is not a de Polignac number, because 164524363425461 - 2⁶ = 164524363425397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164524363425397 and 164524363425406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164524363125461) 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, 6246640466 + ... + 6246666803.

It is an arithmetic number, because the mean of its divisors is an integer number (22169373750615).

Almost surely, 2^{164524363425461} is an apocalyptic number.

It is an amenable number.

164524363425461 is a deficient number, since it is larger than the sum of its proper divisors (12830626579459).

164524363425461 is a wasteful number, since it uses less digits than its factorization.

164524363425461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12493308295.

The product of its digits is 49766400, while the sum is 56.

The spelling of 164524363425461 in words is "one hundred sixty-four trillion, five hundred twenty-four billion, three hundred sixty-three million, four hundred twenty-five thousand, four hundred sixty-one".