11493145728 has 112 divisors (see below), whose sum is σ = 34329326550. Its totient is φ = 3831017472.

The previous prime is 11493145711. The next prime is 11493145751. The reversal of 11493145728 is 82754139411.

11493145728 is a `hidden beast` number, since 1 + 1 + 49 + 31 + 4 + 572 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8506741824 + 2986403904 = 92232^2 + 54648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 31728 + ... + 154896.

Almost surely, 2^11493145728 is an apocalyptic number.

11493145728 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 11493145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17164663275).

11493145728 is an abundant number, since it is smaller than the sum of its proper divisors (22836180822).

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

11493145728 is an frugal number, since it uses more digits than its factorization.

11493145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123201 (or 123174 counting only the distinct ones).

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

The spelling of 11493145728 in words is "eleven billion, four hundred ninety-three million, one hundred forty-five thousand, seven hundred twenty-eight".