818548416 has 336 divisors, whose sum is σ = 2846165504. Its totient is φ = 228427776.

The previous prime is 818548411. The next prime is 818548429. The reversal of 818548416 is 614845818.

818548416 is a `hidden beast` number, since 81 + 85 + 484 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×818548416² = 1340043018672218112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (818548411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7947021 + ... + 7947123.

Almost surely, 2^818548416 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 818548416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423082752).

818548416 is an abundant number, since it is smaller than the sum of its proper divisors (2027617088).

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

818548416 is a wasteful number, since it uses less digits than its factorization.

818548416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 818548416 is about 28610.2851436332. The cubic root of 818548416 is about 935.4375318877.

The spelling of 818548416 in words is "eight hundred eighteen million, five hundred forty-eight thousand, four hundred sixteen".