9957628336041 has 63 divisors (see below), whose sum is σ = 15146390255637. Its totient is φ = 6543392025600.

The previous prime is 9957628336009. The next prime is 9957628336057. The reversal of 9957628336041 is 1406338267599.

The square root of 9957628336041 is 3155571.

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

9957628336041 is a `hidden beast` number, since 9 + 9 + 576 + 28 + 3 + 36 + 0 + 4 + 1 = 666.

9957628336041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5156691597225 + 4800936738816 = 2270835^2 + 2191104^2 .

It is not a de Polignac number, because 9957628336041 - 2⁵ = 9957628336009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9957628336041.

It is not an unprimeable number, because it can be changed into a prime (9957628336241) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6219629641 + ... + 6219631241.

It is a 1-persistent number, because it is pandigital, but 2⋅9957628336041 = 19915256672082 is not.

Almost surely, 2^{9957628336041} is an apocalyptic number.

9957628336041 is the 3155571-st square number.

9957628336041 is the 1577786-th centered octagonal number.

It is an amenable number.

9957628336041 is a deficient number, since it is larger than the sum of its proper divisors (5188761919596).

9957628336041 is an frugal number, since it uses more digits than its factorization.

9957628336041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 9957628336041 in words is "nine trillion, nine hundred fifty-seven billion, six hundred twenty-eight million, three hundred thirty-six thousand, forty-one".