216136648 has 128 divisors (see below), whose sum is σ = 522144000. Its totient is φ = 83317248.

The previous prime is 216136643. The next prime is 216136649. The reversal of 216136648 is 846631612.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (216136643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2604015 + ... + 2604097.

It is an arithmetic number, because the mean of its divisors is an integer number (4079250).

Almost surely, 2^216136648 is an apocalyptic number.

216136648 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 216136648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261072000).

216136648 is an abundant number, since it is smaller than the sum of its proper divisors (306007352).

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

216136648 is a wasteful number, since it uses less digits than its factorization.

216136648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 216136648 is about 14701.5865810463. The cubic root of 216136648 is about 600.1264992539.

It can be divided in two parts, 2161 and 36648, that added together give a square (38809 = 197²).

The spelling of 216136648 in words is "two hundred sixteen million, one hundred thirty-six thousand, six hundred forty-eight".