11343617740800 has 624 divisors, whose sum is σ = 41892333480960. Its totient is φ = 3008987136000.

The previous prime is 11343617740739. The next prime is 11343617740801. The reversal of 11343617740800 is 804771634311.

11343617740800 is a `hidden beast` number, since 1 + 1 + 3 + 436 + 177 + 40 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11343617740801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528066060 + ... + 528087540.

Almost surely, 2^{11343617740800} is an apocalyptic number.

11343617740800 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 11343617740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20946166740480).

11343617740800 is an abundant number, since it is smaller than the sum of its proper divisors (30548715740160).

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

11343617740800 is a wasteful number, since it uses less digits than its factorization.

11343617740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21715 (or 21682 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 11343617740800 in words is "eleven trillion, three hundred forty-three billion, six hundred seventeen million, seven hundred forty thousand, eight hundred".