24241255978681 has 81 divisors (see below), whose sum is σ = 30097213482861. Its totient is φ = 19466026804224.

The previous prime is 24241255978657. The next prime is 24241255978691. The reversal of 24241255978681 is 18687955214242.

The square root of 24241255978681 is 4923541.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15598479159081 + 8642776819600 = 3949491^2 + 2939860^2 .

It is not a de Polignac number, because 24241255978681 - 2⁵ = 24241255978649 is a prime.

It is a super-2 number, since 2×24241255978681² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24241255978631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42012575065 + ... + 42012575641.

Almost surely, 2^{24241255978681} is an apocalyptic number.

24241255978681 is the 4923541-st square number.

24241255978681 is the 2461771-st centered octagonal number.

It is an amenable number.

24241255978681 is a deficient number, since it is larger than the sum of its proper divisors (5855957504180).

24241255978681 is an frugal number, since it uses more digits than its factorization.

24241255978681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 660 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 64.

The spelling of 24241255978681 in words is "twenty-four trillion, two hundred forty-one billion, two hundred fifty-five million, nine hundred seventy-eight thousand, six hundred eighty-one".