66418848 has 144 divisors (see below), whose sum is σ = 203164416. Its totient is φ = 20528640.

The previous prime is 66418819. The next prime is 66418861. The reversal of 66418848 is 84881466.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×66418848² = 8822926739294208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244953 + ... + 245223.

It is an arithmetic number, because the mean of its divisors is an integer number (1410864).

Almost surely, 2^66418848 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 66418848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101582208).

66418848 is an abundant number, since it is smaller than the sum of its proper divisors (136745568).

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

66418848 is a wasteful number, since it uses less digits than its factorization.

66418848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 66418848 is about 8149.7759478405. The cubic root of 66418848 is about 404.9770814649.

The spelling of 66418848 in words is "sixty-six million, four hundred eighteen thousand, eight hundred forty-eight".