216153504 has 324 divisors, whose sum is σ = 773910774. Its totient is φ = 57028608.

The previous prime is 216153491. The next prime is 216153527. The reversal of 216153504 is 405351612.

216153504 is a `hidden beast` number, since 2 + 1 + 6 + 153 + 504 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 216090000 + 63504 = 14700^2 + 252^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4078342 + ... + 4078394.

Almost surely, 2^216153504 is an apocalyptic number.

216153504 is a gapful number since it is divisible by the number (24) 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 216153504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386955387).

216153504 is an abundant number, since it is smaller than the sum of its proper divisors (557757270).

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

216153504 is a wasteful number, since it uses less digits than its factorization.

216153504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 216153504 is about 14702.1598413294. The cubic root of 216153504 is about 600.1420996768.

The spelling of 216153504 in words is "two hundred sixteen million, one hundred fifty-three thousand, five hundred four".