164199968190 has 96 divisors (see below), whose sum is σ = 435080580480. Its totient is φ = 42956739072.

The previous prime is 164199968183. The next prime is 164199968197. The reversal of 164199968190 is 91869991461.

It is an interprime number because it is at equal distance from previous prime (164199968183) and next prime (164199968197).

It is a super-2 number, since 2×164199968190² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164199968197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1042722 + ... + 1189818.

It is an arithmetic number, because the mean of its divisors is an integer number (4532089380).

Almost surely, 2^164199968190 is an apocalyptic number.

164199968190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164199968190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217540290240).

164199968190 is an abundant number, since it is smaller than the sum of its proper divisors (270880612290).

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

164199968190 is a wasteful number, since it uses less digits than its factorization.

164199968190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147346 (or 147343 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 164199968190 in words is "one hundred sixty-four billion, one hundred ninety-nine million, nine hundred sixty-eight thousand, one hundred ninety".