1348848000 has 768 divisors, whose sum is σ = 5585112000. Its totient is φ = 309657600.

The previous prime is 1348847977. The next prime is 1348848079. The reversal of 1348848000 is 8488431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 46511986 + ... + 46512014.

Almost surely, 2^1348848000 is an apocalyptic number.

1348848000 is a gapful number since it is divisible by the number (10) 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 1348848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792556000).

1348848000 is an abundant number, since it is smaller than the sum of its proper divisors (4236264000).

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

1348848000 is a wasteful number, since it uses less digits than its factorization.

1348848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1348848000 is about 36726.6660615962. Note that the first 3 decimals coincide. The cubic root of 1348848000 is about 1104.8949894408.

It can be divided in two parts, 134884 and 8000, that added together give a square (142884 = 378²).

The spelling of 1348848000 in words is "one billion, three hundred forty-eight million, eight hundred forty-eight thousand".