164129414209000 has 128 divisors (see below), whose sum is σ = 385823298107520. Its totient is φ = 65350933824000.

The previous prime is 164129414208863. The next prime is 164129414209001. The reversal of 164129414209000 is 902414921461.

It is not an unprimeable number, because it can be changed into a prime (164129414209001) 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, 1338557695 + ... + 1338680305.

It is an arithmetic number, because the mean of its divisors is an integer number (3014244516465).

Almost surely, 2^{164129414209000} is an apocalyptic number.

164129414209000 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 164129414209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192911649053760).

164129414209000 is an abundant number, since it is smaller than the sum of its proper divisors (221693883898520).

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

164129414209000 is a wasteful number, since it uses less digits than its factorization.

164129414209000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128756 (or 128742 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 164129414209000 in words is "one hundred sixty-four trillion, one hundred twenty-nine billion, four hundred fourteen million, two hundred nine thousand".