24728242112406 has 48 divisors (see below), whose sum is σ = 63923346964080. Its totient is φ = 7065212031360.

The previous prime is 24728242112401. The next prime is 24728242112503. The reversal of 24728242112406 is 60421124282742.

It is a happy number.

24728242112406 is a `hidden beast` number, since 2 + 4 + 7 + 2 + 8 + 24 + 211 + 2 + 406 = 666.

It is a super-2 number, since 2×24728242112406² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24728242112401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4672756635 + ... + 4672761926.

It is an arithmetic number, because the mean of its divisors is an integer number (1331736395085).

Almost surely, 2^{24728242112406} is an apocalyptic number.

24728242112406 is an abundant number, since it is smaller than the sum of its proper divisors (39195104851674).

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

24728242112406 is a wasteful number, since it uses less digits than its factorization.

24728242112406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9345518586 (or 9345518573 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 24728242112406 in words is "twenty-four trillion, seven hundred twenty-eight billion, two hundred forty-two million, one hundred twelve thousand, four hundred six".