164214342500800 has 84 divisors (see below), whose sum is σ = 404150572831096. Its totient is φ = 65672625484800.

The previous prime is 164214342500743. The next prime is 164214342500851. The reversal of 164214342500800 is 8005243412461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 2223267 + ... + 18258466.

Almost surely, 2^{164214342500800} is an apocalyptic number.

164214342500800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164214342500800 is an abundant number, since it is smaller than the sum of its proper divisors (239936230330296).

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

164214342500800 is a wasteful number, since it uses less digits than its factorization.

164214342500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20486766 (or 20486751 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 164214342500800 in words is "one hundred sixty-four trillion, two hundred fourteen billion, three hundred forty-two million, five hundred thousand, eight hundred".