77242636310841 has 225 divisors, whose sum is σ = 127854005999643. Its totient is φ = 46472250942720.

The previous prime is 77242636310839. The next prime is 77242636310867. The reversal of 77242636310841 is 14801363624277.

The square root of 77242636310841 is 8788779.

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

77242636310841 is a `hidden beast` number, since 7 + 7 + 24 + 263 + 6 + 310 + 8 + 41 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4904060841 + 77237732250000 = 70029^2 + 8788500^2 .

It is not a de Polignac number, because 77242636310841 - 2¹ = 77242636310839 is a prime.

It is a super-3 number, since 3×77242636310841³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (77242636314841) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 708648039495 + ... + 708648039603.

Almost surely, 2^{77242636310841} is an apocalyptic number.

77242636310841 is the 8788779-th square number.

77242636310841 is the 4394390-th centered octagonal number.

It is an amenable number.

77242636310841 is a deficient number, since it is larger than the sum of its proper divisors (50611369688802).

77242636310841 is an frugal number, since it uses more digits than its factorization.

77242636310841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 77242636310841 in words is "seventy-seven trillion, two hundred forty-two billion, six hundred thirty-six million, three hundred ten thousand, eight hundred forty-one".