11431974528 has 320 divisors, whose sum is σ = 37088944200. Its totient is φ = 3474358272.

The previous prime is 11431974517. The next prime is 11431974529. The reversal of 11431974528 is 82547913411.

11431974528 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 197 + 452 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5596236864 + 5835737664 = 74808^2 + 76392^2 .

It is not an unprimeable number, because it can be changed into a prime (11431974529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11995300 + ... + 11996252.

Almost surely, 2^11431974528 is an apocalyptic number.

11431974528 is a gapful number since it is divisible by the number (18) 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 11431974528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18544472100).

11431974528 is an abundant number, since it is smaller than the sum of its proper divisors (25656969672).

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

11431974528 is an equidigital number, since it uses as much as digits as its factorization.

11431974528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1060 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 11431974528 in words is "eleven billion, four hundred thirty-one million, nine hundred seventy-four thousand, five hundred twenty-eight".