11281617144 has 192 divisors, whose sum is σ = 36319046400. Its totient is φ = 3213851904.

The previous prime is 11281617131. The next prime is 11281617167. The reversal of 11281617144 is 44171618211.

It is a happy number.

11281617144 is a `hidden beast` number, since 1 + 1 + 28 + 1 + 617 + 14 + 4 = 666.

11281617144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11281617099 and 11281617108.

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 47 ways as a sum of consecutive naturals, for example, 5564659 + ... + 5566685.

It is an arithmetic number, because the mean of its divisors is an integer number (189161700).

Almost surely, 2^11281617144 is an apocalyptic number.

11281617144 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 11281617144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18159523200).

11281617144 is an abundant number, since it is smaller than the sum of its proper divisors (25037429256).

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

11281617144 is a wasteful number, since it uses less digits than its factorization.

11281617144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2448 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The spelling of 11281617144 in words is "eleven billion, two hundred eighty-one million, six hundred seventeen thousand, one hundred forty-four".