11488212094464 has 800 divisors, whose sum is σ = 40965558036480. Its totient is φ = 3133958750208.

The previous prime is 11488212094451. The next prime is 11488212094501. The reversal of 11488212094464 is 46449021288411.

It is a happy number.

11488212094464 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 82 + 12 + 0 + 94 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11488212094464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4800756052 + ... + 4800758444.

Almost surely, 2^{11488212094464} is an apocalyptic number.

11488212094464 is a gapful number since it is divisible by the number (14) 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 11488212094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482779018240).

11488212094464 is an abundant number, since it is smaller than the sum of its proper divisors (29477345942016).

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

11488212094464 is an equidigital number, since it uses as much as digits as its factorization.

11488212094464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 11488212094464 in words is "eleven trillion, four hundred eighty-eight billion, two hundred twelve million, ninety-four thousand, four hundred sixty-four".