11613400444800 has 1536 divisors, whose sum is σ = 54699584716800. Its totient is φ = 2335288320000.

The previous prime is 11613400444771. The next prime is 11613400444801. The reversal of 11613400444800 is 844400431611.

It is a happy number.

11613400444800 is a `hidden beast` number, since 1 + 1 + 6 + 134 + 0 + 0 + 44 + 480 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11613400444801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 206208645 + ... + 206264955.

It is an arithmetic number, because the mean of its divisors is an integer number (35611708800).

Almost surely, 2^{11613400444800} is an apocalyptic number.

11613400444800 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 11613400444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27349792358400).

11613400444800 is an abundant number, since it is smaller than the sum of its proper divisors (43086184272000).

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

11613400444800 is a wasteful number, since it uses less digits than its factorization.

11613400444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56393 (or 56370 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11613400444800 in words is "eleven trillion, six hundred thirteen billion, four hundred million, four hundred forty-four thousand, eight hundred".