11464413184 has 117 divisors (see below), whose sum is σ = 26781105207. Its totient is φ = 4892762112.

The previous prime is 11464413167. The next prime is 11464413193. The reversal of 11464413184 is 48131446411.

The square root of 11464413184 is 107072.

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

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 47968137 + ... + 47968375.

Almost surely, 2^11464413184 is an apocalyptic number.

11464413184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11464413184 is the 107072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11464413184

11464413184 is an abundant number, since it is smaller than the sum of its proper divisors (15316692023).

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

11464413184 is an frugal number, since it uses more digits than its factorization.

11464413184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 248 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

Multiplying 11464413184 by its product of digits (36864), we get a square (422624127614976 = 20557824²).

Adding to 11464413184 its reverse (48131446411), we get a palindrome (59595859595).

The spelling of 11464413184 in words is "eleven billion, four hundred sixty-four million, four hundred thirteen thousand, one hundred eighty-four".