85668848388 has 72 divisors (see below), whose sum is σ = 218872868760. Its totient is φ = 28250449920.

The previous prime is 85668848381. The next prime is 85668848399. The reversal of 85668848388 is 88384886658.

85668848388 is a `hidden beast` number, since 8 + 5 + 6 + 68 + 8 + 483 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 316057284 + 85352791104 = 17778^2 + 292152^2 .

It is a super-2 number, since 2×85668848388² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85668848381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16133878 + ... + 16139186.

It is an arithmetic number, because the mean of its divisors is an integer number (3039900955).

Almost surely, 2^85668848388 is an apocalyptic number.

It is an amenable number.

85668848388 is an abundant number, since it is smaller than the sum of its proper divisors (133204020372).

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

85668848388 is a wasteful number, since it uses less digits than its factorization.

85668848388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10037 (or 10032 counting only the distinct ones).

The product of its digits is 566231040, while the sum is 72.

The spelling of 85668848388 in words is "eighty-five billion, six hundred sixty-eight million, eight hundred forty-eight thousand, three hundred eighty-eight".