77248354438989 has 32 divisors (see below), whose sum is σ = 122330373984000. Its totient is φ = 48058361176320.

The previous prime is 77248354438939. The next prime is 77248354438991. The reversal of 77248354438989 is 98983445384277.

77248354438989 is a `hidden beast` number, since 7 + 7 + 2 + 4 + 83 + 5 + 443 + 8 + 98 + 9 = 666.

It is not a de Polignac number, because 77248354438989 - 2¹⁶ = 77248354373453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77248354438909) 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 31 ways as a sum of consecutive naturals, for example, 1516968264 + ... + 1517019185.

It is an arithmetic number, because the mean of its divisors is an integer number (3822824187000).

Almost surely, 2^{77248354438989} is an apocalyptic number.

It is an amenable number.

77248354438989 is a deficient number, since it is larger than the sum of its proper divisors (45082019545011).

77248354438989 is a wasteful number, since it uses less digits than its factorization.

77248354438989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033987522 (or 3033987516 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 81.

The spelling of 77248354438989 in words is "seventy-seven trillion, two hundred forty-eight billion, three hundred fifty-four million, four hundred thirty-eight thousand, nine hundred eighty-nine".