12347263194240 has 1536 divisors, whose sum is σ = 45343865318400. Its totient is φ = 2853147967488.

The previous prime is 12347263194223. The next prime is 12347263194241. The reversal of 12347263194240 is 4249136274321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12347263194240.

It is not an unprimeable number, because it can be changed into a prime (12347263194241) 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 191 ways as a sum of consecutive naturals, for example, 43629905139 + ... + 43629905421.

It is an arithmetic number, because the mean of its divisors is an integer number (29520745650).

Almost surely, 2^{12347263194240} is an apocalyptic number.

12347263194240 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 12347263194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22671932659200).

12347263194240 is an abundant number, since it is smaller than the sum of its proper divisors (32996602124160).

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

12347263194240 is a wasteful number, since it uses less digits than its factorization.

12347263194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 12347263194240 in words is "twelve trillion, three hundred forty-seven billion, two hundred sixty-three million, one hundred ninety-four thousand, two hundred forty".