11945445638400 has 324 divisors, whose sum is σ = 42899224496128. Its totient is φ = 3171164221440.

The previous prime is 11945445638389. The next prime is 11945445638417. The reversal of 11945445638400 is 483654454911.

11945445638400 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 544 + 56 + 3 + 8 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12379809 + ... + 13309791.

Almost surely, 2^{11945445638400} is an apocalyptic number.

11945445638400 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 11945445638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21449612248064).

11945445638400 is an abundant number, since it is smaller than the sum of its proper divisors (30953778857728).

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

11945445638400 is a wasteful number, since it uses less digits than its factorization.

11945445638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930238 (or 930216 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 11945445638400 in words is "eleven trillion, nine hundred forty-five billion, four hundred forty-five million, six hundred thirty-eight thousand, four hundred".