164226525622461 has 64 divisors (see below), whose sum is σ = 254397862252800. Its totient is φ = 104600902348800.

The previous prime is 164226525622451. The next prime is 164226525622463.

164226525622461 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 2 + 6 + 5 + 2 + 5 + 622 + 4 + 6 + 1 = 666.

164226525622461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164226525622461 - 2²⁹ = 164225988751549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164226525622398 and 164226525622407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164226525622463) 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 63 ways as a sum of consecutive naturals, for example, 50345701 + ... + 53508341.

It is an arithmetic number, because the mean of its divisors is an integer number (3974966597700).

Almost surely, 2^{164226525622461} is an apocalyptic number.

It is an amenable number.

164226525622461 is a deficient number, since it is larger than the sum of its proper divisors (90171336630339).

164226525622461 is a wasteful number, since it uses less digits than its factorization.

164226525622461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163627 (or 3163621 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 164226525622461 in words is "one hundred sixty-four trillion, two hundred twenty-six billion, five hundred twenty-five million, six hundred twenty-two thousand, four hundred sixty-one".