12883183488 has 576 divisors, whose sum is σ = 45711993600. Its totient is φ = 3600350208.

The previous prime is 12883183471. The next prime is 12883183493. The reversal of 12883183488 is 88438138821.

12883183488 is a `hidden beast` number, since 1 + 2 + 8 + 83 + 1 + 83 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×12883183488² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120403531 + ... + 120403637.

It is an arithmetic number, because the mean of its divisors is an integer number (79361100).

Almost surely, 2^12883183488 is an apocalyptic number.

12883183488 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 12883183488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855996800).

12883183488 is an abundant number, since it is smaller than the sum of its proper divisors (32828810112).

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

12883183488 is an equidigital number, since it uses as much as digits as its factorization.

12883183488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 12883183488 in words is "twelve billion, eight hundred eighty-three million, one hundred eighty-three thousand, four hundred eighty-eight".