164345413201424 has 160 divisors (see below), whose sum is σ = 410271834255360. Its totient is φ = 61986421449216.

The previous prime is 164345413201423. The next prime is 164345413201457. The reversal of 164345413201424 is 424102314543461.

164345413201424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164345413201423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287997 + ... + 18273635.

It is an arithmetic number, because the mean of its divisors is an integer number (2564198964096).

Almost surely, 2^{164345413201424} is an apocalyptic number.

164345413201424 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 164345413201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205135917127680).

164345413201424 is an abundant number, since it is smaller than the sum of its proper divisors (245926421053936).

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

164345413201424 is a wasteful number, since it uses less digits than its factorization.

164345413201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15985997 (or 15985991 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

Adding to 164345413201424 its reverse (424102314543461), we get a palindrome (588447727744885).

The spelling of 164345413201424 in words is "one hundred sixty-four trillion, three hundred forty-five billion, four hundred thirteen million, two hundred one thousand, four hundred twenty-four".