11011414943880 has 288 divisors, whose sum is σ = 39182174183880. Its totient is φ = 2666063462400.

The previous prime is 11011414943861. The next prime is 11011414943887. The reversal of 11011414943880 is 8834941411011.

11011414943880 is a `hidden beast` number, since 1 + 1 + 0 + 11 + 41 + 494 + 38 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4195524696804 + 6815890247076 = 2048298^2 + 2610726^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11011414943887) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17098120 + ... + 17730440.

Almost surely, 2^{11011414943880} is an apocalyptic number.

11011414943880 is a gapful number since it is divisible by the number (10) 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 11011414943880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19591087091940).

11011414943880 is an abundant number, since it is smaller than the sum of its proper divisors (28170759240000).

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

11011414943880 is a wasteful number, since it uses less digits than its factorization.

11011414943880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632473 (or 632405 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11011414943880 in words is "eleven trillion, eleven billion, four hundred fourteen million, nine hundred forty-three thousand, eight hundred eighty".