11146434432 has 256 divisors, whose sum is σ = 36531993600. Its totient is φ = 2940715008.

The previous prime is 11146434391. The next prime is 11146434433. The reversal of 11146434432 is 23443464111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11146434393 and 11146434402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11146434433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1789788 + ... + 1796004.

It is an arithmetic number, because the mean of its divisors is an integer number (142703100).

Almost surely, 2^11146434432 is an apocalyptic number.

11146434432 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 11146434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18265996800).

11146434432 is an abundant number, since it is smaller than the sum of its proper divisors (25385559168).

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

11146434432 is a wasteful number, since it uses less digits than its factorization.

11146434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6293 (or 6281 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 11146434432 its reverse (23443464111), we get a palindrome (34589898543).

The spelling of 11146434432 in words is "eleven billion, one hundred forty-six million, four hundred thirty-four thousand, four hundred thirty-two".