216232963968 has 384 divisors, whose sum is σ = 708708925440. Its totient is φ = 58118860800.

The previous prime is 216232963927. The next prime is 216232963997. The reversal of 216232963968 is 869369232612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26394753 + ... + 26402943.

It is an arithmetic number, because the mean of its divisors is an integer number (1845596160).

Almost surely, 2^216232963968 is an apocalyptic number.

216232963968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216232963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354354462720).

216232963968 is an abundant number, since it is smaller than the sum of its proper divisors (492475961472).

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

216232963968 is a wasteful number, since it uses less digits than its factorization.

216232963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8287 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 57.

The spelling of 216232963968 in words is "two hundred sixteen billion, two hundred thirty-two million, nine hundred sixty-three thousand, nine hundred sixty-eight".