11218616640 has 1260 divisors, whose sum is σ = 51724768788. Its totient is φ = 2299207680.

The previous prime is 11218616639. The next prime is 11218616653. The reversal of 11218616640 is 4661681211.

11218616640 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 8 + 6 + 1 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5194373184 + 6024243456 = 72072^2 + 77616^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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 = 11218616595 and 11218616604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 153679644 + ... + 153679716.

Almost surely, 2^11218616640 is an apocalyptic number.

11218616640 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 11218616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25862384394).

11218616640 is an abundant number, since it is smaller than the sum of its proper divisors (40506152148).

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

11218616640 is a wasteful number, since it uses less digits than its factorization.

11218616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11218616640 in words is "eleven billion, two hundred eighteen million, six hundred sixteen thousand, six hundred forty".