164211012 has 72 divisors (see below), whose sum is σ = 475931456. Its totient is φ = 46764864.

The previous prime is 164210993. The next prime is 164211031. The reversal of 164211012 is 210112461.

164211012 is a `hidden beast` number, since 1 + 642 + 1 + 10 + 12 = 666.

164211012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164210993) and next prime (164211031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93123 + ... + 94869.

Almost surely, 2^164211012 is an apocalyptic number.

164211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237965728).

164211012 is an abundant number, since it is smaller than the sum of its proper divisors (311720444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164211012 is a wasteful number, since it uses less digits than its factorization.

164211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 164211012 is about 12814.4844609528. The cubic root of 164211012 is about 547.6050264519.

Adding to 164211012 its reverse (210112461), we get a palindrome (374323473).

The spelling of 164211012 in words is "one hundred sixty-four million, two hundred eleven thousand, twelve".