11966461248 has 112 divisors (see below), whose sum is σ = 36222009344. Its totient is φ = 3415426560.

The previous prime is 11966461237. The next prime is 11966461261. The reversal of 11966461248 is 84216466911.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11966461197 and 11966461206.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1456833 + ... + 1465023.

Almost surely, 2^11966461248 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 11966461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111004672).

11966461248 is an abundant number, since it is smaller than the sum of its proper divisors (24255548096).

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

11966461248 is a wasteful number, since it uses less digits than its factorization.

11966461248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9300 (or 9290 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The spelling of 11966461248 in words is "eleven billion, nine hundred sixty-six million, four hundred sixty-one thousand, two hundred forty-eight".