848688971553 has 12 divisors (see below), whose sum is σ = 1226008565028. Its totient is φ = 565735188480.

The previous prime is 848688971513. The next prime is 848688971593. The reversal of 848688971553 is 355179886848.

848688971553 is a `hidden beast` number, since 8 + 4 + 8 + 68 + 8 + 9 + 7 + 1 + 553 = 666.

It is an interprime number because it is at equal distance from previous prime (848688971513) and next prime (848688971593).

It can be written as a sum of positive squares in 2 ways, for example, as 251394940449 + 597294031104 = 501393^2 + 772848^2 .

It is not a de Polignac number, because 848688971553 - 2⁶ = 848688971489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (848688971513) 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 11 ways as a sum of consecutive naturals, for example, 4694628 + ... + 4872053.

It is an arithmetic number, because the mean of its divisors is an integer number (102167380419).

Almost surely, 2^848688971553 is an apocalyptic number.

It is an amenable number.

848688971553 is a deficient number, since it is larger than the sum of its proper divisors (377319593475).

848688971553 is a wasteful number, since it uses less digits than its factorization.

848688971553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9576544 (or 9576541 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 72.

The spelling of 848688971553 in words is "eight hundred forty-eight billion, six hundred eighty-eight million, nine hundred seventy-one thousand, five hundred fifty-three".