164162113440 has 192 divisors, whose sum is σ = 558473481216. Its totient is φ = 40294121472.

The previous prime is 164162113411. The next prime is 164162113447. The reversal of 164162113440 is 44311261461.

It is not an unprimeable number, because it can be changed into a prime (164162113447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2165457 + ... + 2239983.

It is an arithmetic number, because the mean of its divisors is an integer number (2908716048).

Almost surely, 2^164162113440 is an apocalyptic number.

164162113440 is a gapful number since it is divisible by the number (10) 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 164162113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279236740608).

164162113440 is an abundant number, since it is smaller than the sum of its proper divisors (394311367776).

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

164162113440 is a wasteful number, since it uses less digits than its factorization.

164162113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74911 (or 74903 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 164162113440 in words is "one hundred sixty-four billion, one hundred sixty-two million, one hundred thirteen thousand, four hundred forty".