11145306632224 has 24 divisors (see below), whose sum is σ = 21960901949868. Its totient is φ = 5567934708480.

The previous prime is 11145306632171. The next prime is 11145306632303. The reversal of 11145306632224 is 42223660354111.

It can be written as a sum of positive squares in 2 ways, for example, as 9899002327824 + 1246304304400 = 3146268^2 + 1116380^2 .

It is a super-3 number, since 3×11145306632224³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147418107 + ... + 147493690.

Almost surely, 2^{11145306632224} is an apocalyptic number.

It is an amenable number.

11145306632224 is a deficient number, since it is larger than the sum of its proper divisors (10815595317644).

11145306632224 is a wasteful number, since it uses less digits than its factorization.

11145306632224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294912988 (or 294912980 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

Adding to 11145306632224 its reverse (42223660354111), we get a palindrome (53368966986335).

The spelling of 11145306632224 in words is "eleven trillion, one hundred forty-five billion, three hundred six million, six hundred thirty-two thousand, two hundred twenty-four".