164312117211 has 16 divisors (see below), whose sum is σ = 251578362240. Its totient is φ = 94341885120.

The previous prime is 164312117209. The next prime is 164312117213. The reversal of 164312117211 is 112711213461.

It is an interprime number because it is at equal distance from previous prime (164312117209) and next prime (164312117213).

It is not a de Polignac number, because 164312117211 - 2¹ = 164312117209 is a prime.

It is a super-2 number, since 2×164312117211² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164312117213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131029770 + ... + 131031023.

It is an arithmetic number, because the mean of its divisors is an integer number (15723647640).

Almost surely, 2^164312117211 is an apocalyptic number.

164312117211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

164312117211 is a deficient number, since it is larger than the sum of its proper divisors (87266245029).

164312117211 is a wasteful number, since it uses less digits than its factorization.

164312117211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262060826.

The product of its digits is 2016, while the sum is 30.

The spelling of 164312117211 in words is "one hundred sixty-four billion, three hundred twelve million, one hundred seventeen thousand, two hundred eleven".