11847344400000 has 1152 divisors, whose sum is σ = 44839135111680. Its totient is φ = 2998195200000.

The previous prime is 11847344399953. The next prime is 11847344400037. The reversal of 11847344400000 is 444374811.

It is a happy number.

11847344400000 is a `hidden beast` number, since 1 + 184 + 7 + 34 + 440 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×11847344400000² (a number of 27 digits) contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 5914798999 + ... + 5914801001.

It is an arithmetic number, because the mean of its divisors is an integer number (38922860340).

Almost surely, 2^{11847344400000} is an apocalyptic number.

11847344400000 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 11847344400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22419567555840).

11847344400000 is an abundant number, since it is smaller than the sum of its proper divisors (32991790711680).

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

11847344400000 is an equidigital number, since it uses as much as digits as its factorization.

11847344400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 11847344400000 its reverse (444374811), we get a palindrome (11847788774811).

The spelling of 11847344400000 in words is "eleven trillion, eight hundred forty-seven billion, three hundred forty-four million, four hundred thousand".