164440233525414 has 512 divisors, whose sum is σ = 431440846848000. Its totient is φ = 40554328320000.

The previous prime is 164440233525413. The next prime is 164440233525443. The reversal of 164440233525414 is 414525332044461.

It is a super-3 number, since 3×164440233525414³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164440233525413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37449379159 + ... + 37449383549.

It is an arithmetic number, because the mean of its divisors is an integer number (842657904000).

Almost surely, 2^{164440233525414} is an apocalyptic number.

164440233525414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164440233525414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215720423424000).

164440233525414 is an abundant number, since it is smaller than the sum of its proper divisors (267000613322586).

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

164440233525414 is a wasteful number, since it uses less digits than its factorization.

164440233525414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860.

The product of its (nonzero) digits is 5529600, while the sum is 48.

Adding to 164440233525414 its reverse (414525332044461), we get a palindrome (578965565569875).

The spelling of 164440233525414 in words is "one hundred sixty-four trillion, four hundred forty billion, two hundred thirty-three million, five hundred twenty-five thousand, four hundred fourteen".