217146048 has 84 divisors (see below), whose sum is σ = 668362392. Its totient is φ = 62039040.

The previous prime is 217146047. The next prime is 217146071. The reversal of 217146048 is 840641712.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (217146047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2133 + ... + 20948.

Almost surely, 2^217146048 is an apocalyptic number.

217146048 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 217146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334181196).

217146048 is an abundant number, since it is smaller than the sum of its proper divisors (451216344).

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

217146048 is a wasteful number, since it uses less digits than its factorization.

217146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23110 (or 23093 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 217146048 is about 14735.8762209785. The cubic root of 217146048 is about 601.0592843162.

The spelling of 217146048 in words is "two hundred seventeen million, one hundred forty-six thousand, forty-eight".