164350565630200 has 96 divisors (see below), whose sum is σ = 395460335124000. Its totient is φ = 63446202892800.

The previous prime is 164350565630197. The next prime is 164350565630243. The reversal of 164350565630200 is 2036565053461.

It is a super-2 number, since 2×164350565630200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7525621 + ... + 19629979.

It is an arithmetic number, because the mean of its divisors is an integer number (4119378490875).

Almost surely, 2^{164350565630200} is an apocalyptic number.

164350565630200 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 164350565630200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197730167562000).

164350565630200 is an abundant number, since it is smaller than the sum of its proper divisors (231109769493800).

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

164350565630200 is a wasteful number, since it uses less digits than its factorization.

164350565630200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12106745 (or 12106736 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 46.

The spelling of 164350565630200 in words is "one hundred sixty-four trillion, three hundred fifty billion, five hundred sixty-five million, six hundred thirty thousand, two hundred".