164056117044 has 96 divisors (see below), whose sum is σ = 405299220480. Its totient is φ = 51505175808.

The previous prime is 164056117039. The next prime is 164056117087. The reversal of 164056117044 is 440711650461.

It is a junction number, because it is equal to n+sod(n) for n = 164056116993 and 164056117011.

It is a congruent number.

It is an unprimeable number.

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, 44663592 + ... + 44667264.

It is an arithmetic number, because the mean of its divisors is an integer number (4221866880).

Almost surely, 2^164056117044 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 164056117044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202649610240).

164056117044 is an abundant number, since it is smaller than the sum of its proper divisors (241243103436).

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

164056117044 is a wasteful number, since it uses less digits than its factorization.

164056117044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 164056117044 in words is "one hundred sixty-four billion, fifty-six million, one hundred seventeen thousand, forty-four".