11133423248640 has 3456 divisors, whose sum is σ = 50444198461440. Its totient is φ = 2059429478400.

The previous prime is 11133423248639. The next prime is 11133423248659. The reversal of 11133423248640 is 4684232433111.

It is a super-2 number, since 2×11133423248640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11133423248592 and 11133423248601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 64355047594 + ... + 64355047766.

It is an arithmetic number, because the mean of its divisors is an integer number (14596122240).

Almost surely, 2^{11133423248640} is an apocalyptic number.

11133423248640 is a gapful number since it is divisible by the number (10) 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 11133423248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25222099230720).

11133423248640 is an abundant number, since it is smaller than the sum of its proper divisors (39310775212800).

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

11133423248640 is a wasteful number, since it uses less digits than its factorization.

11133423248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 11133423248640 in words is "eleven trillion, one hundred thirty-three billion, four hundred twenty-three million, two hundred forty-eight thousand, six hundred forty".