395506121688 has 48 divisors (see below), whose sum is σ = 1071214583400. Its totient is φ = 131828952960.

The previous prime is 395506121653. The next prime is 395506121713. The reversal of 395506121688 is 886121605593.

395506121688 is a `hidden beast` number, since 3 + 9 + 5 + 5 + 0 + 612 + 16 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1490883 + ... + 1736013.

Almost surely, 2^395506121688 is an apocalyptic number.

It is an amenable number.

395506121688 is an abundant number, since it is smaller than the sum of its proper divisors (675708461712).

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

395506121688 is a wasteful number, since it uses less digits than its factorization.

395506121688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267552 (or 267545 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 395506121688 in words is "three hundred ninety-five billion, five hundred six million, one hundred twenty-one thousand, six hundred eighty-eight".