11468921220 has 240 divisors, whose sum is σ = 36883123200. Its totient is φ = 2982230784.

The previous prime is 11468921209. The next prime is 11468921221. The reversal of 11468921220 is 2212986411.

11468921220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11468921220³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11468921221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19146481 + ... + 19147079.

It is an arithmetic number, because the mean of its divisors is an integer number (153679680).

Almost surely, 2^11468921220 is an apocalyptic number.

11468921220 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 11468921220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18441561600).

11468921220 is an abundant number, since it is smaller than the sum of its proper divisors (25414201980).

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

11468921220 is a wasteful number, since it uses less digits than its factorization.

11468921220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 885 counting only the distinct ones).

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

The spelling of 11468921220 in words is "eleven billion, four hundred sixty-eight million, nine hundred twenty-one thousand, two hundred twenty".