11453164800000 has 2304 divisors, whose sum is σ = 48743760199680. Its totient is φ = 2322432000000.

The previous prime is 11453164799963. The next prime is 11453164800001. The reversal of 11453164800000 is 846135411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11453164800001) 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 191 ways as a sum of consecutive naturals, for example, 90182399937 + ... + 90182400063.

It is an arithmetic number, because the mean of its divisors is an integer number (21156145920).

Almost surely, 2^{11453164800000} is an apocalyptic number.

11453164800000 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 11453164800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24371880099840).

11453164800000 is an abundant number, since it is smaller than the sum of its proper divisors (37290595399680).

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

11453164800000 is an equidigital number, since it uses as much as digits as its factorization.

11453164800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 11453164800000 in words is "eleven trillion, four hundred fifty-three billion, one hundred sixty-four million, eight hundred thousand".