11514104431424 has 56 divisors (see below), whose sum is σ = 27648364230720. Its totient is φ = 4644344641536.

The previous prime is 11514104431399. The next prime is 11514104431433. The reversal of 11514104431424 is 42413440141511.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×11514104431424³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 755907854 + ... + 755923085.

Almost surely, 2^{11514104431424} is an apocalyptic number.

11514104431424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11514104431424 is an abundant number, since it is smaller than the sum of its proper divisors (16134259799296).

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

11514104431424 is a wasteful number, since it uses less digits than its factorization.

11514104431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511830975 (or 1511830965 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

Adding to 11514104431424 its reverse (42413440141511), we get a palindrome (53927544572935).

The spelling of 11514104431424 in words is "eleven trillion, five hundred fourteen billion, one hundred four million, four hundred thirty-one thousand, four hundred twenty-four".