164320456656 has 80 divisors (see below), whose sum is σ = 435182646528. Its totient is φ = 53396428800.

The previous prime is 164320456649. The next prime is 164320456669. The reversal of 164320456656 is 656654023461.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2580076 + ... + 2642996.

Almost surely, 2^164320456656 is an apocalyptic number.

164320456656 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 164320456656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217591323264).

164320456656 is an abundant number, since it is smaller than the sum of its proper divisors (270862189872).

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

164320456656 is a wasteful number, since it uses less digits than its factorization.

164320456656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64300 (or 64294 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 164320456656 in words is "one hundred sixty-four billion, three hundred twenty million, four hundred fifty-six thousand, six hundred fifty-six".