11041890048 has 648 divisors, whose sum is σ = 40722759168. Its totient is φ = 2812575744.

The previous prime is 11041890029. The next prime is 11041890053. The reversal of 11041890048 is 84009814011.

11041890048 is a `hidden beast` number, since 110 + 418 + 90 + 0 + 48 = 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 = 11041889994 and 11041890021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107202765 + ... + 107202867.

Almost surely, 2^11041890048 is an apocalyptic number.

11041890048 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 11041890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20361379584).

11041890048 is an abundant number, since it is smaller than the sum of its proper divisors (29680869120).

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

11041890048 is a wasteful number, since it uses less digits than its factorization.

11041890048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 11041890048 in words is "eleven billion, forty-one million, eight hundred ninety thousand, forty-eight".