11573217349824 has 224 divisors, whose sum is σ = 33164707758336. Its totient is φ = 3540662415360.

The previous prime is 11573217349819. The next prime is 11573217349829. The reversal of 11573217349824 is 42894371237511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11573217349819) and next prime (11573217349829).

It is not an unprimeable number, because it can be changed into a prime (11573217349829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 878682759 + ... + 878695929.

It is an arithmetic number, because the mean of its divisors is an integer number (148056731064).

Almost surely, 2^{11573217349824} 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 11573217349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582353879168).

11573217349824 is an abundant number, since it is smaller than the sum of its proper divisors (21591490408512).

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

11573217349824 is a wasteful number, since it uses less digits than its factorization.

11573217349824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15183 (or 15173 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The spelling of 11573217349824 in words is "eleven trillion, five hundred seventy-three billion, two hundred seventeen million, three hundred forty-nine thousand, eight hundred twenty-four".