11147939712000 has 1408 divisors, whose sum is σ = 50712169697280. Its totient is φ = 2352026419200.

The previous prime is 11147939711977. The next prime is 11147939712053. The reversal of 11147939712000 is 21793974111.

It is a happy number.

11147939712000 is a `hidden beast` number, since 1 + 11 + 47 + 9 + 397 + 1 + 200 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314478277 + ... + 314513723.

Almost surely, 2^{11147939712000} is an apocalyptic number.

11147939712000 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 11147939712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25356084848640).

11147939712000 is an abundant number, since it is smaller than the sum of its proper divisors (39564229985280).

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

11147939712000 is a wasteful number, since it uses less digits than its factorization.

11147939712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35511 (or 35477 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 11147939712000 in words is "eleven trillion, one hundred forty-seven billion, nine hundred thirty-nine million, seven hundred twelve thousand".