11153286144 has 1056 divisors, whose sum is σ = 46030970880. Its totient is φ = 2587852800.

The previous prime is 11153286077. The next prime is 11153286161. The reversal of 11153286144 is 44168235111.

11153286144 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 32 + 8 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 = 11153286099 and 11153286108.

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 95 ways as a sum of consecutive naturals, for example, 359783409 + ... + 359783439.

Almost surely, 2^11153286144 is an apocalyptic number.

11153286144 is a gapful number since it is divisible by the number (14) 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 11153286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23015485440).

11153286144 is an abundant number, since it is smaller than the sum of its proper divisors (34877684736).

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

11153286144 is a wasteful number, since it uses less digits than its factorization.

11153286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 11153286144 in words is "eleven billion, one hundred fifty-three million, two hundred eighty-six thousand, one hundred forty-four".