11143613712 has 480 divisors, whose sum is σ = 38871512064. Its totient is φ = 2714342400.

The previous prime is 11143613707. The next prime is 11143613717. The reversal of 11143613712 is 21731634111.

It is an interprime number because it is at equal distance from previous prime (11143613707) and next prime (11143613717).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11143613712.

It is not an unprimeable number, because it can be changed into a prime (11143613717) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36298263 + ... + 36298569.

Almost surely, 2^11143613712 is an apocalyptic number.

11143613712 is a gapful number since it is divisible by the number (12) 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 11143613712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19435756032).

11143613712 is an abundant number, since it is smaller than the sum of its proper divisors (27727898352).

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

11143613712 is a wasteful number, since it uses less digits than its factorization.

11143613712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 414 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The spelling of 11143613712 in words is "eleven billion, one hundred forty-three million, six hundred thirteen thousand, seven hundred twelve".