11137003357824 has 384 divisors, whose sum is σ = 33106339964880. Its totient is φ = 3590966476800.

The previous prime is 11137003357813. The next prime is 11137003357841. The reversal of 11137003357824 is 42875330073111.

11137003357824 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 70 + 0 + 3 + 3 + 578 + 2 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10865145397824 + 271857960000 = 3296232^2 + 521400^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 11137003357824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6956278624 + ... + 6956280224.

Almost surely, 2^{11137003357824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11137003357824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16553169982440).

11137003357824 is an abundant number, since it is smaller than the sum of its proper divisors (21969336607056).

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

11137003357824 is a wasteful number, since it uses less digits than its factorization.

11137003357824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 11137003357824 in words is "eleven trillion, one hundred thirty-seven billion, three million, three hundred fifty-seven thousand, eight hundred twenty-four".