11285144640 has 448 divisors, whose sum is σ = 49638021120. Its totient is φ = 2344826880.

The previous prime is 11285144623. The next prime is 11285144659. The reversal of 11285144640 is 4644158211.

11285144640 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 5 + 1 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 11285144595 and 11285144604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656799 + ... + 673761.

Almost surely, 2^11285144640 is an apocalyptic number.

11285144640 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 11285144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24819010560).

11285144640 is an abundant number, since it is smaller than the sum of its proper divisors (38352876480).

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

11285144640 is a wasteful number, since it uses less digits than its factorization.

11285144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17007 (or 16991 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 11285144640 in words is "eleven billion, two hundred eighty-five million, one hundred forty-four thousand, six hundred forty".