11472344064000 has 896 divisors, whose sum is σ = 44266373199360. Its totient is φ = 2926116864000.

The previous prime is 11472344063987. The next prime is 11472344064011. The reversal of 11472344064000 is 46044327411.

11472344064000 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 2 + 3 + 4 + 4 + 0 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×11472344064000² (a number of 27 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 635894980 + ... + 635913020.

Almost surely, 2^{11472344064000} is an apocalyptic number.

11472344064000 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 11472344064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22133186599680).

11472344064000 is an abundant number, since it is smaller than the sum of its proper divisors (32794029135360).

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

11472344064000 is an equidigital number, since it uses as much as digits as its factorization.

11472344064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18114 (or 18074 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 11472344064000 in words is "eleven trillion, four hundred seventy-two billion, three hundred forty-four million, sixty-four thousand".