11318784480 has 288 divisors, whose sum is σ = 41352450048. Its totient is φ = 2920665600.

The previous prime is 11318784469. The next prime is 11318784493. The reversal of 11318784480 is 8448781311.

11318784480 is a `hidden beast` number, since 1 + 13 + 1 + 87 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11318784480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1200585 + ... + 1209975.

It is an arithmetic number, because the mean of its divisors is an integer number (143584896).

Almost surely, 2^11318784480 is an apocalyptic number.

11318784480 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 11318784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20676225024).

11318784480 is an abundant number, since it is smaller than the sum of its proper divisors (30033665568).

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

11318784480 is an equidigital number, since it uses as much as digits as its factorization.

11318784480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9452 (or 9432 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11318784480 in words is "eleven billion, three hundred eighteen million, seven hundred eighty-four thousand, four hundred eighty".