164118410707200 has 432 divisors, whose sum is σ = 549486443950080. Its totient is φ = 43131709071360.

The previous prime is 164118410707193. The next prime is 164118410707213. The reversal of 164118410707200 is 2707014811461.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829590697 + ... + 829788503.

Almost surely, 2^{164118410707200} is an apocalyptic number.

164118410707200 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 164118410707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274743221975040).

164118410707200 is an abundant number, since it is smaller than the sum of its proper divisors (385368033242880).

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

164118410707200 is a wasteful number, since it uses less digits than its factorization.

164118410707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198462 (or 198443 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 164118410707200 in words is "one hundred sixty-four trillion, one hundred eighteen billion, four hundred ten million, seven hundred seven thousand, two hundred".