948775668633288 has 48 divisors (see below), whose sum is σ = 2574116763648300. Its totient is φ = 315702741511680.

The previous prime is 948775668633281. The next prime is 948775668633293. The reversal of 948775668633288 is 882336866577849.

948775668633288 is a `hidden beast` number, since 9 + 4 + 8 + 7 + 7 + 566 + 8 + 6 + 3 + 32 + 8 + 8 = 666.

948775668633288 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 2 ways, for example, as 898681803032484 + 50093865600804 = 29978022^2 + 7077702^2 .

It is a junction number, because it is equal to n+sod(n) for n = 948775668633198 and 948775668633207.

It is not an unprimeable number, because it can be changed into a prime (948775668633281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11579431653 + ... + 11579513588.

Almost surely, 2^{948775668633288} is an apocalyptic number.

It is an amenable number.

948775668633288 is an abundant number, since it is smaller than the sum of its proper divisors (1625341095015012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

948775668633288 is a wasteful number, since it uses less digits than its factorization.

948775668633288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23158945822 (or 23158945815 counting only the distinct ones).

The product of its digits is 140460687360, while the sum is 90.

The spelling of 948775668633288 in words is "nine hundred forty-eight trillion, seven hundred seventy-five billion, six hundred sixty-eight million, six hundred thirty-three thousand, two hundred eighty-eight".