99678486961 has 9 divisors (see below), whose sum is σ = 100173128043. Its totient is φ = 99186281040.

The previous prime is 99678486959. The next prime is 99678486991. The reversal of 99678486961 is 16968487699.

The square root of 99678486961 is 315719.

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

It can be written as a sum of positive squares in only one way, i.e., 92275605361 + 7402881600 = 303769^2 + 86040^2 .

It is not a de Polignac number, because 99678486961 - 2¹ = 99678486959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99678486991) 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, 75456181 + ... + 75457501.

Almost surely, 2^99678486961 is an apocalyptic number.

99678486961 is the 315719-th square number.

99678486961 is the 157860-th centered octagonal number.

It is an amenable number.

99678486961 is a deficient number, since it is larger than the sum of its proper divisors (494641082).

99678486961 is an frugal number, since it uses more digits than its factorization.

99678486961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 1560 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 73.

The spelling of 99678486961 in words is "ninety-nine billion, six hundred seventy-eight million, four hundred eighty-six thousand, nine hundred sixty-one".