11488464000 has 1152 divisors, whose sum is σ = 49651645680. Its totient is φ = 2521497600.

The previous prime is 11488463989. The next prime is 11488464041. The reversal of 11488464000 is 46488411.

11488464000 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 8 + 4 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 199826496 + 11288637504 = 14136^2 + 106248^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 604655991 + ... + 604656009.

Almost surely, 2^11488464000 is an apocalyptic number.

11488464000 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 11488464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24825822840).

11488464000 is an abundant number, since it is smaller than the sum of its proper divisors (38163181680).

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

11488464000 is a wasteful number, since it uses less digits than its factorization.

11488464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 11488464000 in words is "eleven billion, four hundred eighty-eight million, four hundred sixty-four thousand".