11446481952 has 144 divisors (see below), whose sum is σ = 33814059552. Its totient is φ = 3808995840.

The previous prime is 11446481947. The next prime is 11446481987. The reversal of 11446481952 is 25918464411.

11446481952 is a `hidden beast` number, since 11 + 446 + 4 + 8 + 195 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 11446481898 and 11446481907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7285327 + ... + 7286897.

It is an arithmetic number, because the mean of its divisors is an integer number (234819858).

Almost surely, 2^11446481952 is an apocalyptic number.

11446481952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11446481952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16907029776).

11446481952 is an abundant number, since it is smaller than the sum of its proper divisors (22367577600).

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

11446481952 is an equidigital number, since it uses as much as digits as its factorization.

11446481952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2513 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 11446481952 in words is "eleven billion, four hundred forty-six million, four hundred eighty-one thousand, nine hundred fifty-two".