86938241841 has 128 divisors (see below), whose sum is σ = 150087168000. Its totient is φ = 49184755200.

The previous prime is 86938241837. The next prime is 86938241849. The reversal of 86938241841 is 14814283968.

It is a happy number.

86938241841 is a `hidden beast` number, since 86 + 9 + 382 + 4 + 184 + 1 = 666.

It is not a de Polignac number, because 86938241841 - 2² = 86938241837 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86938241849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172839196 + ... + 172839698.

It is an arithmetic number, because the mean of its divisors is an integer number (1172556000).

Almost surely, 2^86938241841 is an apocalyptic number.

It is an amenable number.

86938241841 is a deficient number, since it is larger than the sum of its proper divisors (63148926159).

86938241841 is a wasteful number, since it uses less digits than its factorization.

86938241841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 926 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 86938241841 in words is "eighty-six billion, nine hundred thirty-eight million, two hundred forty-one thousand, eight hundred forty-one".