164521436324124 has 192 divisors, whose sum is σ = 429722135539200. Its totient is φ = 48573499392000.

The previous prime is 164521436324107. The next prime is 164521436324129. The reversal of 164521436324124 is 421423634125461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164521436324129) 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 63 ways as a sum of consecutive naturals, for example, 260643099 + ... + 261273549.

It is an arithmetic number, because the mean of its divisors is an integer number (2238136122600).

Almost surely, 2^{164521436324124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164521436324124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214861067769600).

164521436324124 is an abundant number, since it is smaller than the sum of its proper divisors (265200699215076).

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

164521436324124 is a wasteful number, since it uses less digits than its factorization.

164521436324124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630884 (or 630882 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The spelling of 164521436324124 in words is "one hundred sixty-four trillion, five hundred twenty-one billion, four hundred thirty-six million, three hundred twenty-four thousand, one hundred twenty-four".