11963718144000 has 2912 divisors, whose sum is σ = 54077553404160. Its totient is φ = 2579890176000.

The previous prime is 11963718143873. The next prime is 11963718144013. The reversal of 11963718144000 is 44181736911.

11963718144000 is a `hidden beast` number, since 1 + 1 + 9 + 63 + 7 + 181 + 4 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 49641983880 + ... + 49641984120.

Almost surely, 2^{11963718144000} is an apocalyptic number.

11963718144000 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 11963718144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27038776702080).

11963718144000 is an abundant number, since it is smaller than the sum of its proper divisors (42113835260160).

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

11963718144000 is an frugal number, since it uses more digits than its factorization.

11963718144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11963718144000 in words is "eleven trillion, nine hundred sixty-three billion, seven hundred eighteen million, one hundred forty-four thousand".