11723450284800 has 864 divisors, whose sum is σ = 46018992096000. Its totient is φ = 2911467110400.

The previous prime is 11723450284783. The next prime is 11723450284849. The reversal of 11723450284800 is 848205432711.

11723450284800 is a `hidden beast` number, since 1 + 1 + 72 + 34 + 50 + 28 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×11723450284800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 193678540 + ... + 193739060.

Almost surely, 2^{11723450284800} is an apocalyptic number.

11723450284800 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 11723450284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23009496048000).

11723450284800 is an abundant number, since it is smaller than the sum of its proper divisors (34295541811200).

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

11723450284800 is a wasteful number, since it uses less digits than its factorization.

11723450284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60634 (or 60609 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 11723450284800 in words is "eleven trillion, seven hundred twenty-three billion, four hundred fifty million, two hundred eighty-four thousand, eight hundred".