216136416 has 48 divisors (see below), whose sum is σ = 574560000. Its totient is φ = 71131008.

The previous prime is 216136387. The next prime is 216136421. The reversal of 216136416 is 614631612.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6666 + ... + 21833.

It is an arithmetic number, because the mean of its divisors is an integer number (11970000).

Almost surely, 2^216136416 is an apocalyptic number.

It is an amenable number.

216136416 is an abundant number, since it is smaller than the sum of its proper divisors (358423584).

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

216136416 is a wasteful number, since it uses less digits than its factorization.

216136416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28591 (or 28583 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 216136416 is about 14701.5786907393. The cubic root of 216136416 is about 600.1262845296.

The spelling of 216136416 in words is "two hundred sixteen million, one hundred thirty-six thousand, four hundred sixteen".