11220848640 has 312 divisors, whose sum is σ = 41193587448. Its totient is φ = 2815426560.

The previous prime is 11220848633. The next prime is 11220848647. The reversal of 11220848640 is 4684802211.

11220848640 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 0 + 8 + 4 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (11220848633) and next prime (11220848647).

It can be written as a sum of positive squares in 4 ways, for example, as 4593586176 + 6627262464 = 67776^2 + 81408^2 .

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 = 11220848595 and 11220848604.

It is not an unprimeable number, because it can be changed into a prime (11220848647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3131650 + ... + 3135230.

It is an arithmetic number, because the mean of its divisors is an integer number (132030729).

Almost surely, 2^11220848640 is an apocalyptic number.

11220848640 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 11220848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20596793724).

11220848640 is an abundant number, since it is smaller than the sum of its proper divisors (29972738808).

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

11220848640 is a wasteful number, since it uses less digits than its factorization.

11220848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 11220848640 in words is "eleven billion, two hundred twenty million, eight hundred forty-eight thousand, six hundred forty".