164100950936384 has 448 divisors, whose sum is σ = 425449073147904. Its totient is φ = 60935535360000.

The previous prime is 164100950936261. The next prime is 164100950936407. The reversal of 164100950936384 is 483639059001461.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10662129329 + ... + 10662144719.

Almost surely, 2^{164100950936384} is an apocalyptic number.

164100950936384 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 164100950936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212724536573952).

164100950936384 is an abundant number, since it is smaller than the sum of its proper divisors (261348122211520).

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

164100950936384 is a wasteful number, since it uses less digits than its factorization.

164100950936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16506 (or 16496 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 59.

The spelling of 164100950936384 in words is "one hundred sixty-four trillion, one hundred billion, nine hundred fifty million, nine hundred thirty-six thousand, three hundred eighty-four".