164406504023131 has 8 divisors (see below), whose sum is σ = 164447081558784. Its totient is φ = 164365930180200.

The previous prime is 164406504023101. The next prime is 164406504023143. The reversal of 164406504023131 is 131320405604461.

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 164406504023131 - 2¹³ = 164406504014939 is a prime.

It is a super-3 number, since 3×164406504023131³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164406504023101) 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, 89214810 + ... + 91038976.

It is an arithmetic number, because the mean of its divisors is an integer number (20555885194848).

Almost surely, 2^{164406504023131} is an apocalyptic number.

164406504023131 is a deficient number, since it is larger than the sum of its proper divisors (40577535653).

164406504023131 is a wasteful number, since it uses less digits than its factorization.

164406504023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846361.

The product of its (nonzero) digits is 207360, while the sum is 40.

Adding to 164406504023131 its reverse (131320405604461), we get a palindrome (295726909627592).

The spelling of 164406504023131 in words is "one hundred sixty-four trillion, four hundred six billion, five hundred four million, twenty-three thousand, one hundred thirty-one".