164031677056 has 64 divisors (see below), whose sum is σ = 352756341000. Its totient is φ = 75526778880.

The previous prime is 164031677027. The next prime is 164031677093. The reversal of 164031677056 is 650776130461.

It can be written as a sum of positive squares in 4 ways, for example, as 31983745600 + 132047931456 = 178840^2 + 363384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 164031676997 and 164031677015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583470 + ... + 817618.

Almost surely, 2^164031677056 is an apocalyptic number.

164031677056 is a gapful number since it is divisible by the number (16) 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 164031677056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176378170500).

164031677056 is an abundant number, since it is smaller than the sum of its proper divisors (188724663944).

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

164031677056 is a wasteful number, since it uses less digits than its factorization.

164031677056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234597 (or 234585 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 164031677056 in words is "one hundred sixty-four billion, thirty-one million, six hundred seventy-seven thousand, fifty-six".