216563401837872 has 200 divisors, whose sum is σ = 628045319602800. Its totient is φ = 72044187499008.

The previous prime is 216563401837843. The next prime is 216563401837901. The reversal of 216563401837872 is 278738104365612.

It is a happy number.

216563401837872 is a `hidden beast` number, since 2 + 1 + 65 + 63 + 401 + 8 + 37 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (216563401837843) and next prime (216563401837901).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1605187954 + ... + 1605322862.

It is an arithmetic number, because the mean of its divisors is an integer number (3140226598014).

Almost surely, 2^{216563401837872} 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 216563401837872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314022659801400).

216563401837872 is an abundant number, since it is smaller than the sum of its proper divisors (411481917764928).

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

216563401837872 is a wasteful number, since it uses less digits than its factorization.

216563401837872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137385 (or 137370 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 216563401837872 in words is "two hundred sixteen trillion, five hundred sixty-three billion, four hundred one million, eight hundred thirty-seven thousand, eight hundred seventy-two".