164240464005361 has 8 divisors (see below), whose sum is σ = 164255250959144. Its totient is φ = 164225677668480.

The previous prime is 164240464005307. The next prime is 164240464005433. The reversal of 164240464005361 is 163500464042461.

It can be written as a sum of positive squares in 4 ways, for example, as 10080428150961 + 154160035854400 = 3174969^2 + 12416120^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 164240464005361 - 2⁹ = 164240464004849 is a prime.

It is a super-3 number, since 3×164240464005361³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164240464005301) 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, 650441845 + ... + 650694301.

It is an arithmetic number, because the mean of its divisors is an integer number (20531906369893).

Almost surely, 2^{164240464005361} is an apocalyptic number.

It is an amenable number.

164240464005361 is a deficient number, since it is larger than the sum of its proper divisors (14786953783).

164240464005361 is a wasteful number, since it uses less digits than its factorization.

164240464005361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308451.

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 164240464005361 in words is "one hundred sixty-four trillion, two hundred forty billion, four hundred sixty-four million, five thousand, three hundred sixty-one".