164377007517 has 32 divisors (see below), whose sum is σ = 230653169280. Its totient is φ = 103983989760.

The previous prime is 164377007489. The next prime is 164377007539. The reversal of 164377007517 is 715700773461.

It is not a de Polignac number, because 164377007517 - 2¹⁴ = 164376991133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164377007017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1738578 + ... + 1830684.

It is an arithmetic number, because the mean of its divisors is an integer number (7207911540).

Almost surely, 2^164377007517 is an apocalyptic number.

It is an amenable number.

164377007517 is a deficient number, since it is larger than the sum of its proper divisors (66276161763).

164377007517 is a wasteful number, since it uses less digits than its factorization.

164377007517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92493.

The product of its (nonzero) digits is 864360, while the sum is 48.

The spelling of 164377007517 in words is "one hundred sixty-four billion, three hundred seventy-seven million, seven thousand, five hundred seventeen".