11312843304960 has 624 divisors, whose sum is σ = 43057810033056. Its totient is φ = 2839280615424.

The previous prime is 11312843304949. The next prime is 11312843305031. The reversal of 11312843304960 is 6940334821311.

11312843304960 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 284 + 3 + 304 + 9 + 60 = 666.

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

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, 84536022 + ... + 84669738.

It is an arithmetic number, because the mean of its divisors is an integer number (69002900694).

Almost surely, 2^{11312843304960} is an apocalyptic number.

11312843304960 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 11312843304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21528905016528).

11312843304960 is an abundant number, since it is smaller than the sum of its proper divisors (31744966728096).

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

11312843304960 is an equidigital number, since it uses as much as digits as its factorization.

11312843304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133778 (or 133744 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 11312843304960 in words is "eleven trillion, three hundred twelve billion, eight hundred forty-three million, three hundred four thousand, nine hundred sixty".