216361152 has 224 divisors, whose sum is σ = 751677440. Its totient is φ = 59719680.

The previous prime is 216361127. The next prime is 216361177. The reversal of 216361152 is 251163612.

216361152 is a `hidden beast` number, since 21 + 636 + 1 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (216361127) and next prime (216361177).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374688 + ... + 375264.

Almost surely, 2^216361152 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 216361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375838720).

216361152 is an abundant number, since it is smaller than the sum of its proper divisors (535316288).

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

216361152 is a wasteful number, since it uses less digits than its factorization.

216361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 620 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 216361152 is about 14709.2199657222. The cubic root of 216361152 is about 600.3342138007.

The spelling of 216361152 in words is "two hundred sixteen million, three hundred sixty-one thousand, one hundred fifty-two".