86967414801 has 16 divisors (see below), whose sum is σ = 128846937600. Its totient is φ = 57975431184.

The previous prime is 86967414797. The next prime is 86967414823. The reversal of 86967414801 is 10841476968.

86967414801 is a `hidden beast` number, since 8 + 6 + 96 + 74 + 1 + 480 + 1 = 666.

It is not a de Polignac number, because 86967414801 - 2² = 86967414797 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86967414841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 581760 + ... + 715806.

It is an arithmetic number, because the mean of its divisors is an integer number (8052933600).

Almost surely, 2^86967414801 is an apocalyptic number.

It is an amenable number.

86967414801 is a deficient number, since it is larger than the sum of its proper divisors (41879522799).

86967414801 is a wasteful number, since it uses less digits than its factorization.

86967414801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158085 (or 158079 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 86967414801 in words is "eighty-six billion, nine hundred sixty-seven million, four hundred fourteen thousand, eight hundred one".