11144564640 has 432 divisors, whose sum is σ = 42162591744. Its totient is φ = 2678522880.

The previous prime is 11144564611. The next prime is 11144564653. The reversal of 11144564640 is 4646544111.

11144564640 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 4 + 5 + 6 + 4 + 640 = 666.

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 = 11144564595 and 11144564604.

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 71 ways as a sum of consecutive naturals, for example, 29097889 + ... + 29098271.

It is an arithmetic number, because the mean of its divisors is an integer number (97598592).

Almost surely, 2^11144564640 is an apocalyptic number.

11144564640 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 11144564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081295872).

11144564640 is an abundant number, since it is smaller than the sum of its proper divisors (31018027104).

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

11144564640 is a wasteful number, since it uses less digits than its factorization.

11144564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11144564640 in words is "eleven billion, one hundred forty-four million, five hundred sixty-four thousand, six hundred forty".