11227206541824 has 1280 divisors, whose sum is σ = 41755527475200. Its totient is φ = 2899892109312.

The previous prime is 11227206541823. The next prime is 11227206541861. The reversal of 11227206541824 is 42814560272211.

11227206541824 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 7 + 20 + 6 + 541 + 82 + 4 = 666.

It is a super-2 number, since 2×11227206541824² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11227206541824.

It is not an unprimeable number, because it can be changed into a prime (11227206541823) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16438076587 + ... + 16438077269.

It is an arithmetic number, because the mean of its divisors is an integer number (32621505840).

Almost surely, 2^{11227206541824} is an apocalyptic number.

11227206541824 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 11227206541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20877763737600).

11227206541824 is an abundant number, since it is smaller than the sum of its proper divisors (30528320933376).

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

11227206541824 is a wasteful number, since it uses less digits than its factorization.

11227206541824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 11227206541824 in words is "eleven trillion, two hundred twenty-seven billion, two hundred six million, five hundred forty-one thousand, eight hundred twenty-four".