11334359189504 has 384 divisors, whose sum is σ = 25766732759040. Its totient is φ = 4948638105600.

The previous prime is 11334359189497. The next prime is 11334359189579. The reversal of 11334359189504 is 40598195343311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11334359189504.

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 31 ways as a sum of consecutive naturals, for example, 7442126087 + ... + 7442127609.

It is an arithmetic number, because the mean of its divisors is an integer number (67100866560).

Almost surely, 2^{11334359189504} 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 11334359189504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12883366379520).

11334359189504 is an abundant number, since it is smaller than the sum of its proper divisors (14432373569536).

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

11334359189504 is a wasteful number, since it uses less digits than its factorization.

11334359189504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 56.

The spelling of 11334359189504 in words is "eleven trillion, three hundred thirty-four billion, three hundred fifty-nine million, one hundred eighty-nine thousand, five hundred four".