216135018176175 has 144 divisors (see below), whose sum is σ = 453232038168000. Its totient is φ = 96391259136000.

The previous prime is 216135018176173. The next prime is 216135018176179. The reversal of 216135018176175 is 571671810531612.

It is a happy number.

216135018176175 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 3 + 5 + 0 + 1 + 8 + 17 + 617 + 5 = 666.

It is not a de Polignac number, because 216135018176175 - 2¹ = 216135018176173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216135018176173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2857341355 + ... + 2857416995.

It is an arithmetic number, because the mean of its divisors is an integer number (3147444709500).

Almost surely, 2^{216135018176175} is an apocalyptic number.

216135018176175 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

216135018176175 is an abundant number, since it is smaller than the sum of its proper divisors (237097019991825).

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

216135018176175 is a wasteful number, since it uses less digits than its factorization.

216135018176175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119954 (or 119946 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 216135018176175 in words is "two hundred sixteen trillion, one hundred thirty-five billion, eighteen million, one hundred seventy-six thousand, one hundred seventy-five".