11142852672 has 112 divisors (see below), whose sum is σ = 34120693760. Its totient is φ = 3143342592.

The previous prime is 11142852661. The next prime is 11142852703. The reversal of 11142852672 is 27625824111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 11142852672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53703 + ... + 158649.

Almost surely, 2^11142852672 is an apocalyptic number.

11142852672 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 11142852672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17060346880).

11142852672 is an abundant number, since it is smaller than the sum of its proper divisors (22977841088).

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

11142852672 is a wasteful number, since it uses less digits than its factorization.

11142852672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105048 (or 105038 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The spelling of 11142852672 in words is "eleven billion, one hundred forty-two million, eight hundred fifty-two thousand, six hundred seventy-two".