7544959682481 has 135 divisors (see below), whose sum is σ = 12974086368243. Its totient is φ = 4366767075840.

The previous prime is 7544959682443. The next prime is 7544959682501. The reversal of 7544959682481 is 1842869594457.

It is a happy number.

The square root of 7544959682481 is 2746809.

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

7544959682481 is a `hidden beast` number, since 7 + 5 + 4 + 4 + 9 + 596 + 8 + 24 + 8 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4820479322481 + 2724480360000 = 2195559^2 + 1650600^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7544959682481 is a prime.

It is a super-2 number, since 2×7544959682481² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7544959632481) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5463402411 + ... + 5463403791.

Almost surely, 2^{7544959682481} is an apocalyptic number.

7544959682481 is the 2746809-th square number.

7544959682481 is the 1373405-th centered octagonal number.

It is an amenable number.

7544959682481 is a deficient number, since it is larger than the sum of its proper divisors (5429126685762).

7544959682481 is an equidigital number, since it uses as much as digits as its factorization.

7544959682481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 1414 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 7544959682481 in words is "seven trillion, five hundred forty-four billion, nine hundred fifty-nine million, six hundred eighty-two thousand, four hundred eighty-one".