1668296448 has 432 divisors, whose sum is σ = 6056290240. Its totient is φ = 429981696.

The previous prime is 1668296429. The next prime is 1668296453. The reversal of 1668296448 is 8446928661.

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

It is a junction number, because it is equal to n+sod(n) for n = 1668296394 and 1668296403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15305418 + ... + 15305526.

Almost surely, 2^1668296448 is an apocalyptic number.

1668296448 is a gapful number since it is divisible by the number (18) 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 1668296448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028145120).

1668296448 is an abundant number, since it is smaller than the sum of its proper divisors (4387993792).

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

1668296448 is a wasteful number, since it uses less digits than its factorization.

1668296448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 1668296448 is about 40844.7848323381. The cubic root of 1668296448 is about 1186.0174394822.

It can be divided in two parts, 1668 and 296448, that added together give a square (298116 = 546²).

The spelling of 1668296448 in words is "one billion, six hundred sixty-eight million, two hundred ninety-six thousand, four hundred forty-eight".