11662213248 has 384 divisors, whose sum is σ = 42404990400. Its totient is φ = 3135283200.

The previous prime is 11662213217. The next prime is 11662213249. The reversal of 11662213248 is 84231226611.

It is a happy number.

11662213248 is a `hidden beast` number, since 1 + 1 + 6 + 622 + 1 + 3 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11662213249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2876823 + ... + 2880873.

Almost surely, 2^11662213248 is an apocalyptic number.

11662213248 is a gapful number since it is divisible by the number (18) 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 11662213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21202495200).

11662213248 is an abundant number, since it is smaller than the sum of its proper divisors (30742777152).

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

11662213248 is a wasteful number, since it uses less digits than its factorization.

11662213248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4080 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 11662213248 its reverse (84231226611), we get a palindrome (95893439859).

The spelling of 11662213248 in words is "eleven billion, six hundred sixty-two million, two hundred thirteen thousand, two hundred forty-eight".