4162164192 has 36 divisors (see below), whose sum is σ = 11836155240. Its totient is φ = 1387387968.

The previous prime is 4162164169. The next prime is 4162164197. The reversal of 4162164192 is 2914612614.

4162164192 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 1 + 641 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4162164192² = 34647221522334025728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4162164197) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7225692 + ... + 7226267.

It is an arithmetic number, because the mean of its divisors is an integer number (328782090).

Almost surely, 2^4162164192 is an apocalyptic number.

It is an amenable number.

4162164192 is an abundant number, since it is smaller than the sum of its proper divisors (7673991048).

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

4162164192 is a wasteful number, since it uses less digits than its factorization.

4162164192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14451975 (or 14451964 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4162164192 is about 64514.8369911914. The cubic root of 4162164192 is about 1608.5691532428.

The spelling of 4162164192 in words is "four billion, one hundred sixty-two million, one hundred sixty-four thousand, one hundred ninety-two".