164600217600 has 1008 divisors, whose sum is σ = 699005594112. Its totient is φ = 33218887680.

The previous prime is 164600217541. The next prime is 164600217611. The reversal of 164600217600 is 6712006461.

164600217600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7156531189 + ... + 7156531211.

Almost surely, 2^164600217600 is an apocalyptic number.

164600217600 is a gapful number since it is divisible by the number (10) 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 164600217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349502797056).

164600217600 is an abundant number, since it is smaller than the sum of its proper divisors (534405376512).

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

164600217600 is an frugal number, since it uses more digits than its factorization.

164600217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 164600217600 in words is "one hundred sixty-four billion, six hundred million, two hundred seventeen thousand, six hundred".