164015121341632 has 168 divisors, whose sum is σ = 363388456670960. Its totient is φ = 73378179072000.

The previous prime is 164015121341579. The next prime is 164015121341633. The reversal of 164015121341632 is 236143121510461.

164015121341632 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 (164015121341633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623004844 + ... + 623268052.

Almost surely, 2^{164015121341632} 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 164015121341632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181694228335480).

164015121341632 is an abundant number, since it is smaller than the sum of its proper divisors (199373335329328).

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

164015121341632 is a wasteful number, since it uses less digits than its factorization.

164015121341632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264511 (or 264490 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 164015121341632 in words is "one hundred sixty-four trillion, fifteen billion, one hundred twenty-one million, three hundred forty-one thousand, six hundred thirty-two".