164206310018800 has 120 divisors (see below), whose sum is σ = 455240928636416. Its totient is φ = 55752710987520.

The previous prime is 164206310018789. The next prime is 164206310018801. The reversal of 164206310018800 is 8810013602461.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164206310018801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284396604 + ... + 284973403.

Almost surely, 2^{164206310018800} is an apocalyptic number.

164206310018800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164206310018800 is an abundant number, since it is smaller than the sum of its proper divisors (291034618617616).

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

164206310018800 is a wasteful number, since it uses less digits than its factorization.

164206310018800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569370135 (or 569370124 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 164206310018800 in words is "one hundred sixty-four trillion, two hundred six billion, three hundred ten million, eighteen thousand, eight hundred".