12364794288 has 320 divisors, whose sum is σ = 44397158400. Its totient is φ = 3200912640.

The previous prime is 12364794283. The next prime is 12364794289. The reversal of 12364794288 is 88249746321.

12364794288 is a `hidden beast` number, since 1 + 236 + 47 + 94 + 288 = 666.

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 not an unprimeable number, because it can be changed into a prime (12364794283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16731423 + ... + 16732161.

It is an arithmetic number, because the mean of its divisors is an integer number (138741120).

Almost surely, 2^12364794288 is an apocalyptic number.

12364794288 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 12364794288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22198579200).

12364794288 is an abundant number, since it is smaller than the sum of its proper divisors (32032364112).

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

12364794288 is a wasteful number, since it uses less digits than its factorization.

12364794288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1265 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 12364794288 in words is "twelve billion, three hundred sixty-four million, seven hundred ninety-four thousand, two hundred eighty-eight".