164442352896 has 108 divisors (see below), whose sum is σ = 474634803552. Its totient is φ = 54755509248.

The previous prime is 164442352889. The next prime is 164442352913. The reversal of 164442352896 is 698253244461.

164442352896 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 4 + 23 + 528 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2144205 + ... + 2219571.

Almost surely, 2^164442352896 is an apocalyptic number.

164442352896 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 164442352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237317401776).

164442352896 is an abundant number, since it is smaller than the sum of its proper divisors (310192450656).

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

164442352896 is an equidigital number, since it uses as much as digits as its factorization.

164442352896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76336 (or 76319 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 164442352896 in words is "one hundred sixty-four billion, four hundred forty-two million, three hundred fifty-two thousand, eight hundred ninety-six".