11283148800 has 1248 divisors, whose sum is σ = 52653058560. Its totient is φ = 2300313600.

The previous prime is 11283148783. The next prime is 11283148837. The reversal of 11283148800 is 884138211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212889574 + ... + 212889626.

Almost surely, 2^11283148800 is an apocalyptic number.

11283148800 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 11283148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26326529280).

11283148800 is an abundant number, since it is smaller than the sum of its proper divisors (41369909760).

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

11283148800 is a wasteful number, since it uses less digits than its factorization.

11283148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11283148800 in words is "eleven billion, two hundred eighty-three million, one hundred forty-eight thousand, eight hundred".