164526048820224 has 2640 divisors, whose sum is σ = 625111325110272. Its totient is φ = 42191523938304.

The previous prime is 164526048820223. The next prime is 164526048820247. The reversal of 164526048820224 is 422028840625461.

164526048820224 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 2 + 604 + 8 + 8 + 2 + 0 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164526048820223) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 737784972177 + ... + 737784972399.

Almost surely, 2^{164526048820224} is an apocalyptic number.

164526048820224 is a gapful number since it is divisible by the number (14) 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 164526048820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312555662555136).

164526048820224 is an abundant number, since it is smaller than the sum of its proper divisors (460585276290048).

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

164526048820224 is a wasteful number, since it uses less digits than its factorization.

164526048820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 164526048820224 in words is "one hundred sixty-four trillion, five hundred twenty-six billion, forty-eight million, eight hundred twenty thousand, two hundred twenty-four".