219136848 has 80 divisors (see below), whose sum is σ = 648768000. Its totient is φ = 62437248.

The previous prime is 219136777. The next prime is 219136859. The reversal of 219136848 is 848631912.

It is a super-4 number, since 4×219136848⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 167011 + ... + 168317.

It is an arithmetic number, because the mean of its divisors is an integer number (8109600).

Almost surely, 2^219136848 is an apocalyptic number.

219136848 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 219136848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324384000).

219136848 is an abundant number, since it is smaller than the sum of its proper divisors (429631152).

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

219136848 is a wasteful number, since it uses less digits than its factorization.

219136848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1818 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 219136848 is about 14803.2715303071. The cubic root of 219136848 is about 602.8905411465.

The spelling of 219136848 in words is "two hundred nineteen million, one hundred thirty-six thousand, eight hundred forty-eight".