164577784128 has 112 divisors (see below), whose sum is σ = 441114753024. Its totient is φ = 54149437440.

The previous prime is 164577784073. The next prime is 164577784199. The reversal of 164577784128 is 821487775461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4786518 + ... + 4820778.

Almost surely, 2^164577784128 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 164577784128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220557376512).

164577784128 is an abundant number, since it is smaller than the sum of its proper divisors (276536968896).

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

164577784128 is a wasteful number, since it uses less digits than its factorization.

164577784128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34600 (or 34590 counting only the distinct ones).

The product of its digits is 21073920, while the sum is 60.

The spelling of 164577784128 in words is "one hundred sixty-four billion, five hundred seventy-seven million, seven hundred eighty-four thousand, one hundred twenty-eight".