77261093849241 has 9 divisors (see below), whose sum is σ = 111599395871509. Its totient is φ = 51507378319836.

The previous prime is 77261093849231. The next prime is 77261093849249. The reversal of 77261093849241 is 14294839016277.

The square root of 77261093849241 is 8789829.

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

77261093849241 is a `hidden beast` number, since 7 + 7 + 2 + 6 + 1 + 0 + 9 + 384 + 9 + 241 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-77261093849241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77261093849249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24904516 + ... + 27834458.

Almost surely, 2^{77261093849241} is an apocalyptic number.

77261093849241 is the 8789829-th square number.

77261093849241 is the 4394915-th centered octagonal number.

It is an amenable number.

77261093849241 is a deficient number, since it is larger than the sum of its proper divisors (34338302022268).

77261093849241 is an frugal number, since it uses more digits than its factorization.

77261093849241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859892 (or 2929946 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 77261093849241 in words is "seventy-seven trillion, two hundred sixty-one billion, ninety-three million, eight hundred forty-nine thousand, two hundred forty-one".