11304431114000 has 40 divisors (see below), whose sum is σ = 27334114438488. Its totient is φ = 4521772444800.

The previous prime is 11304431113999. The next prime is 11304431114047. The reversal of 11304431114000 is 41113440311.

It can be written as a sum of positive squares in 4 ways, for example, as 102584402944 + 11201846711056 = 320288^2 + 3346916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×11304431114000³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2826105779 + ... + 2826109778.

Almost surely, 2^{11304431114000} is an apocalyptic number.

11304431114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11304431114000 is an abundant number, since it is smaller than the sum of its proper divisors (16029683324488).

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

11304431114000 is an equidigital number, since it uses as much as digits as its factorization.

11304431114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652215580 (or 5652215564 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 11304431114000 its reverse (41113440311), we get a palindrome (11345544554311).

The spelling of 11304431114000 in words is "eleven trillion, three hundred four billion, four hundred thirty-one million, one hundred fourteen thousand".