11006061144 has 256 divisors, whose sum is σ = 32354112000. Its totient is φ = 3099078144.

The previous prime is 11006061139. The next prime is 11006061149. The reversal of 11006061144 is 44116060011.

It is an interprime number because it is at equal distance from previous prime (11006061139) and next prime (11006061149).

It is a super-2 number, since 2×11006061144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006061149) by changing a digit.

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, 79180227 + ... + 79180365.

It is an arithmetic number, because the mean of its divisors is an integer number (126383250).

Almost surely, 2^11006061144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006061144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177056000).

11006061144 is an abundant number, since it is smaller than the sum of its proper divisors (21348050856).

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

11006061144 is a wasteful number, since it uses less digits than its factorization.

11006061144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 11006061144 in words is "eleven billion, six million, sixty-one thousand, one hundred forty-four".