164039344128 has 600 divisors, whose sum is σ = 566935682544. Its totient is φ = 46714060800.

The previous prime is 164039344121. The next prime is 164039344141. The reversal of 164039344128 is 821443930461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164039344121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248168118 + ... + 248168778.

Almost surely, 2^164039344128 is an apocalyptic number.

164039344128 is a gapful number since it is divisible by the number (18) 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 164039344128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283467841272).

164039344128 is an abundant number, since it is smaller than the sum of its proper divisors (402896338416).

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

164039344128 is an equidigital number, since it uses as much as digits as its factorization.

164039344128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 164039344128 in words is "one hundred sixty-four billion, thirty-nine million, three hundred forty-four thousand, one hundred twenty-eight".