11233479340800 has 1728 divisors, whose sum is σ = 45081549596160. Its totient is φ = 2725977784320.

The previous prime is 11233479340747. The next prime is 11233479340807. The reversal of 11233479340800 is 804397433211.

11233479340800 is a `hidden beast` number, since 1 + 1 + 233 + 4 + 7 + 9 + 3 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (11233479340807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14273798007 + ... + 14273798793.

It is an arithmetic number, because the mean of its divisors is an integer number (26088859720).

Almost surely, 2^{11233479340800} is an apocalyptic number.

11233479340800 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 11233479340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22540774798080).

11233479340800 is an abundant number, since it is smaller than the sum of its proper divisors (33848070255360).

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

11233479340800 is a wasteful number, since it uses less digits than its factorization.

11233479340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 11233479340800 in words is "eleven trillion, two hundred thirty-three billion, four hundred seventy-nine million, three hundred forty thousand, eight hundred".