11457248000 has 288 divisors, whose sum is σ = 31510140480. Its totient is φ = 4150784000.

The previous prime is 11457247973. The next prime is 11457248017. The reversal of 11457248000 is 84275411.

It is a happy number.

11457248000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 42591866 + ... + 42592134.

It is an arithmetic number, because the mean of its divisors is an integer number (109410210).

Almost surely, 2^11457248000 is an apocalyptic number.

11457248000 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 11457248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15755070240).

11457248000 is an abundant number, since it is smaller than the sum of its proper divisors (20052892480).

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

11457248000 is an frugal number, since it uses more digits than its factorization.

11457248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 11457248000 in words is "eleven billion, four hundred fifty-seven million, two hundred forty-eight thousand".