11032142142432 has 96 divisors (see below), whose sum is σ = 30653850729600. Its totient is φ = 3464371496448.

The previous prime is 11032142142409. The next prime is 11032142142457. The reversal of 11032142142432 is 23424124123011.

It is a happy number.

11032142142432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11032142142432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16568263 + ... + 17221254.

It is an arithmetic number, because the mean of its divisors is an integer number (319310945100).

Almost surely, 2^{11032142142432} is an apocalyptic number.

11032142142432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11032142142432 is an abundant number, since it is smaller than the sum of its proper divisors (19621708587168).

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

11032142142432 is a wasteful number, since it uses less digits than its factorization.

11032142142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33789728 (or 33789720 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11032142142432 its reverse (23424124123011), we get a palindrome (34456266265443).

The spelling of 11032142142432 in words is "eleven trillion, thirty-two billion, one hundred forty-two million, one hundred forty-two thousand, four hundred thirty-two".