24738256656 has 225 divisors, whose sum is σ = 76356289999. Its totient is φ = 7730823168.

The previous prime is 24738256643. The next prime is 24738256661. The reversal of 24738256656 is 65665283742.

The square root of 24738256656 is 157284.

It is a perfect power (a square), and thus also a powerful number.

24738256656 is a `hidden beast` number, since 2 + 4 + 73 + 8 + 2 + 566 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16508138256 + 8230118400 = 128484^2 + 90720^2 .

It is a super-2 number, since 2×24738256656² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 96257680 + ... + 96257936.

Almost surely, 2^24738256656 is an apocalyptic number.

24738256656 is the 157284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24738256656

24738256656 is an abundant number, since it is smaller than the sum of its proper divisors (51618033343).

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

24738256656 is an equidigital number, since it uses as much as digits as its factorization.

24738256656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 279 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 24738256656 in words is "twenty-four billion, seven hundred thirty-eight million, two hundred fifty-six thousand, six hundred fifty-six".