11149401821184 has 1755 divisors, whose sum is σ = 40184776868313. Its totient is φ = 3077288755200.

The previous prime is 11149401821171. The next prime is 11149401821189. The reversal of 11149401821184 is 48112810494111.

The square root of 11149401821184 is 3339072.

It is a perfect power (a square), and thus also a powerful number.

11149401821184 is a `hidden beast` number, since 1 + 1 + 1 + 49 + 401 + 8 + 21 + 184 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8680330137600 + 2469071683584 = 2946240^2 + 1571328^2 .

It is a super-2 number, since 2×11149401821184² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11149401821189) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 359658123249 + ... + 359658123279.

Almost surely, 2^{11149401821184} is an apocalyptic number.

11149401821184 is the 3339072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11149401821184

11149401821184 is an abundant number, since it is smaller than the sum of its proper divisors (29035375047129).

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

11149401821184 is an equidigital number, since it uses as much as digits as its factorization.

11149401821184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 11149401821184 in words is "eleven trillion, one hundred forty-nine billion, four hundred one million, eight hundred twenty-one thousand, one hundred eighty-four".