11334249605952 has 1512 divisors, whose sum is σ = 43755768627480. Its totient is φ = 2779486617600.

The previous prime is 11334249605909. The next prime is 11334249605971. The reversal of 11334249605952 is 25950694243311.

11334249605952 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 4 + 2 + 49 + 6 + 0 + 595 + 2 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6180514212096 + 5153735393856 = 2486064^2 + 2270184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9437342952 + ... + 9437344152.

It is an arithmetic number, because the mean of its divisors is an integer number (28939000415).

Almost surely, 2^{11334249605952} is an apocalyptic number.

11334249605952 is a gapful number since it is divisible by the number (12) 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 11334249605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877884313740).

11334249605952 is an abundant number, since it is smaller than the sum of its proper divisors (32421519021528).

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

11334249605952 is a wasteful number, since it uses less digits than its factorization.

11334249605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 11334249605952 in words is "eleven trillion, three hundred thirty-four billion, two hundred forty-nine million, six hundred five thousand, nine hundred fifty-two".