164635420766208 has 208 divisors, whose sum is σ = 504205877491200. Its totient is φ = 46802311446528.

The previous prime is 164635420766129. The next prime is 164635420766261. The reversal of 164635420766208 is 802667024536461.

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, 12308116 + ... + 21926252.

Almost surely, 2^{164635420766208} 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 164635420766208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252102938745600).

164635420766208 is an abundant number, since it is smaller than the sum of its proper divisors (339570456724992).

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

164635420766208 is an equidigital number, since it uses as much as digits as its factorization.

164635420766208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9618370 (or 9618348 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 164635420766208 in words is "one hundred sixty-four trillion, six hundred thirty-five billion, four hundred twenty million, seven hundred sixty-six thousand, two hundred eight".