86618101181601 has 24 divisors (see below), whose sum is σ = 126951156871840. Its totient is φ = 52493039089920.

The previous prime is 86618101181597. The next prime is 86618101181603. The reversal of 86618101181601 is 10618110181668.

It is not a de Polignac number, because 86618101181601 - 2² = 86618101181597 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86618101181603) 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, 557130 + ... + 13173708.

Almost surely, 2^{86618101181601} is an apocalyptic number.

It is an amenable number.

86618101181601 is a deficient number, since it is larger than the sum of its proper divisors (40333055690239).

86618101181601 is a wasteful number, since it uses less digits than its factorization.

86618101181601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12635517 (or 12635506 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 48.

The spelling of 86618101181601 in words is "eighty-six trillion, six hundred eighteen billion, one hundred one million, one hundred eighty-one thousand, six hundred one".