164112470280 has 384 divisors, whose sum is σ = 606197329920. Its totient is φ = 39600679680.

The previous prime is 164112470267. The next prime is 164112470281. The reversal of 164112470280 is 82074211461.

It is a happy number.

164112470280 is a `hidden beast` number, since 1 + 641 + 1 + 2 + 4 + 7 + 0 + 2 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (164112470281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23839719 + ... + 23846601.

It is an arithmetic number, because the mean of its divisors is an integer number (1578638880).

Almost surely, 2^164112470280 is an apocalyptic number.

164112470280 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 164112470280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303098664960).

164112470280 is an abundant number, since it is smaller than the sum of its proper divisors (442084859640).

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

164112470280 is a wasteful number, since it uses less digits than its factorization.

164112470280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 164112470280 in words is "one hundred sixty-four billion, one hundred twelve million, four hundred seventy thousand, two hundred eighty".