164245420560200 has 192 divisors, whose sum is σ = 436904891832960. Its totient is φ = 56250642309120.

The previous prime is 164245420560187. The next prime is 164245420560233. The reversal of 164245420560200 is 2065024542461.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4893628619 + ... + 4893662181.

It is an arithmetic number, because the mean of its divisors is an integer number (2275546311630).

Almost surely, 2^{164245420560200} is an apocalyptic number.

164245420560200 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 164245420560200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218452445916480).

164245420560200 is an abundant number, since it is smaller than the sum of its proper divisors (272659471272760).

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

164245420560200 is a wasteful number, since it uses less digits than its factorization.

164245420560200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37336 (or 37327 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The spelling of 164245420560200 in words is "one hundred sixty-four trillion, two hundred forty-five billion, four hundred twenty million, five hundred sixty thousand, two hundred".