11337505093824 has 336 divisors, whose sum is σ = 37637549929728. Its totient is φ = 2985440274432.

The previous prime is 11337505093813. The next prime is 11337505093829. The reversal of 11337505093824 is 42839050573311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (11337505093829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78569389 + ... + 78713555.

It is an arithmetic number, because the mean of its divisors is an integer number (112016517648).

Almost surely, 2^{11337505093824} is an apocalyptic number.

11337505093824 is a gapful number since it is divisible by the number (14) 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 11337505093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18818774964864).

11337505093824 is an abundant number, since it is smaller than the sum of its proper divisors (26300044835904).

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

11337505093824 is a wasteful number, since it uses less digits than its factorization.

11337505093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144852 (or 144835 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 11337505093824 in words is "eleven trillion, three hundred thirty-seven billion, five hundred five million, ninety-three thousand, eight hundred twenty-four".