164414416342050 has 72 divisors (see below), whose sum is σ = 504830550758976. Its totient is φ = 37580438020320.

The previous prime is 164414416342013. The next prime is 164414416342081. The reversal of 164414416342050 is 50243614414461.

It is a happy number.

164414416342050 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 1 + 4 + 4 + 1 + 634 + 2 + 0 + 5 + 0 = 666.

It is a super-3 number, since 3×164414416342050³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 164414416341987 and 164414416342005.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26097523254 + ... + 26097529553.

It is an arithmetic number, because the mean of its divisors is an integer number (7011535427208).

Almost surely, 2^{164414416342050} is an apocalyptic number.

164414416342050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164414416342050 is an abundant number, since it is smaller than the sum of its proper divisors (340416134416926).

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

164414416342050 is a wasteful number, since it uses less digits than its factorization.

164414416342050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52195052832 (or 52195052824 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 164414416342050 in words is "one hundred sixty-four trillion, four hundred fourteen billion, four hundred sixteen million, three hundred forty-two thousand, fifty".