216381955328 has 216 divisors, whose sum is σ = 560874172320. Its totient is φ = 82341826560.

The previous prime is 216381955319. The next prime is 216381955337. The reversal of 216381955328 is 823559183612.

216381955328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216381955319) and next prime (216381955337).

It is a self number, because there is not a number n which added to its sum of digits gives 216381955328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5915078 + ... + 5951546.

Almost surely, 2^216381955328 is an apocalyptic number.

216381955328 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 216381955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280437086160).

216381955328 is an abundant number, since it is smaller than the sum of its proper divisors (344492216992).

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

216381955328 is a wasteful number, since it uses less digits than its factorization.

216381955328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36553 (or 36532 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 53.

The spelling of 216381955328 in words is "two hundred sixteen billion, three hundred eighty-one million, nine hundred fifty-five thousand, three hundred twenty-eight".