11333403648 has 198 divisors, whose sum is σ = 38069324046. Its totient is φ = 3237986304.

The previous prime is 11333403643. The next prime is 11333403649. The reversal of 11333403648 is 84630433311.

11333403648 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 3 + 4 + 0 + 3 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8725054464 + 2608349184 = 93408^2 + 51072^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11333403643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 439036 + ... + 464132.

Almost surely, 2^11333403648 is an apocalyptic number.

11333403648 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 11333403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034662023).

11333403648 is an abundant number, since it is smaller than the sum of its proper divisors (26735920398).

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

11333403648 is a wasteful number, since it uses less digits than its factorization.

11333403648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25137 (or 25109 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 11333403648 its reverse (84630433311), we get a palindrome (95963836959).

The spelling of 11333403648 in words is "eleven billion, three hundred thirty-three million, four hundred three thousand, six hundred forty-eight".