216284137690176 has 672 divisors, whose sum is σ = 664238325104640. Its totient is φ = 67091713855488.

The previous prime is 216284137690141. The next prime is 216284137690199. The reversal of 216284137690176 is 671096731482612.

216284137690176 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 8 + 4 + 1 + 376 + 90 + 176 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85050780361 + ... + 85050782903.

Almost surely, 2^{216284137690176} 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 216284137690176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332119162552320).

216284137690176 is an abundant number, since it is smaller than the sum of its proper divisors (447954187414464).

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

216284137690176 is a wasteful number, since it uses less digits than its factorization.

216284137690176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 216284137690176 in words is "two hundred sixteen trillion, two hundred eighty-four billion, one hundred thirty-seven million, six hundred ninety thousand, one hundred seventy-six".