1483301083200 has 672 divisors, whose sum is σ = 5105634135168. Its totient is φ = 376676352000.

The previous prime is 1483301083183. The next prime is 1483301083211. The reversal of 1483301083200 is 23801033841.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1884753207 + ... + 1884753993.

It is an arithmetic number, because the mean of its divisors is an integer number (7597669844).

Almost surely, 2^{1483301083200} is an apocalyptic number.

1483301083200 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 1483301083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552817067584).

1483301083200 is an abundant number, since it is smaller than the sum of its proper divisors (3622333051968).

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

1483301083200 is a wasteful number, since it uses less digits than its factorization.

1483301083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 1483301083200 in words is "one trillion, four hundred eighty-three billion, three hundred one million, eighty-three thousand, two hundred".