164727126247321 has 16 divisors (see below), whose sum is σ = 189468917807040. Its totient is φ = 141638816185920.

The previous prime is 164727126247261. The next prime is 164727126247349. The reversal of 164727126247321 is 123742621727461.

It is a cyclic number.

It is not a de Polignac number, because 164727126247321 - 2⁷ = 164727126247193 is a prime.

It is a super-2 number, since 2×164727126247321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164727126244321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642749590 + ... + 643005823.

It is an arithmetic number, because the mean of its divisors is an integer number (11841807362940).

Almost surely, 2^{164727126247321} is an apocalyptic number.

164727126247321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164727126247321 is a deficient number, since it is larger than the sum of its proper divisors (24741791559719).

164727126247321 is a wasteful number, since it uses less digits than its factorization.

164727126247321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285756056.

The product of its digits is 9483264, while the sum is 55.

The spelling of 164727126247321 in words is "one hundred sixty-four trillion, seven hundred twenty-seven billion, one hundred twenty-six million, two hundred forty-seven thousand, three hundred twenty-one".