11061084241008 has 200 divisors, whose sum is σ = 32368003886592. Its totient is φ = 3646439741952.

The previous prime is 11061084241007. The next prime is 11061084241027. The reversal of 11061084241008 is 80014248016011.

11061084241008 is a `hidden beast` number, since 1 + 1 + 0 + 610 + 8 + 4 + 24 + 10 + 0 + 8 = 666.

It is a super-4 number, since 4×11061084241008⁴ (a number of 53 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11061084241001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52069666 + ... + 52281662.

Almost surely, 2^{11061084241008} is an apocalyptic number.

11061084241008 is a gapful number since it is divisible by the number (18) 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 11061084241008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16184001943296).

11061084241008 is an abundant number, since it is smaller than the sum of its proper divisors (21306919645584).

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

11061084241008 is a wasteful number, since it uses less digits than its factorization.

11061084241008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212461 (or 212446 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11061084241008 in words is "eleven trillion, sixty-one billion, eighty-four million, two hundred forty-one thousand, eight".