164206170216000 has 896 divisors, whose sum is σ = 666226511608320. Its totient is φ = 39262205952000.

The previous prime is 164206170215999. The next prime is 164206170216029. The reversal of 164206170216000 is 612071602461.

164206170216000 is a `hidden beast` number, since 1 + 6 + 4 + 20 + 6 + 1 + 7 + 0 + 21 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172974642 + ... + 173921358.

Almost surely, 2^{164206170216000} is an apocalyptic number.

164206170216000 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 164206170216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333113255804160).

164206170216000 is an abundant number, since it is smaller than the sum of its proper divisors (502020341392320).

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

164206170216000 is a wasteful number, since it uses less digits than its factorization.

164206170216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946837 (or 946811 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 164206170216000 in words is "one hundred sixty-four trillion, two hundred six billion, one hundred seventy million, two hundred sixteen thousand".