164362132116 has 144 divisors (see below), whose sum is σ = 517510541184. Its totient is φ = 42825915648.

The previous prime is 164362132073. The next prime is 164362132133. The reversal of 164362132116 is 611231263461.

164362132116 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 621 + 3 + 21 + 1 + 6 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30331 + ... + 574146.

Almost surely, 2^164362132116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164362132116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258755270592).

164362132116 is an abundant number, since it is smaller than the sum of its proper divisors (353148409068).

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

164362132116 is a wasteful number, since it uses less digits than its factorization.

164362132116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604590 (or 604585 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

Adding to 164362132116 its reverse (611231263461), we get a palindrome (775593395577).

The spelling of 164362132116 in words is "one hundred sixty-four billion, three hundred sixty-two million, one hundred thirty-two thousand, one hundred sixteen".