86406014601 has 81 divisors (see below), whose sum is σ = 137502516333. Its totient is φ = 54286501320.

The previous prime is 86406014599. The next prime is 86406014689. The reversal of 86406014601 is 10641060468.

The square root of 86406014601 is 293949.

It is a perfect power (a square), and thus also a powerful number.

86406014601 is a `hidden beast` number, since 8 + 6 + 4 + 0 + 601 + 46 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 86406014601 - 2¹ = 86406014599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86406814601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 452387416 + ... + 452387606.

Almost surely, 2^86406014601 is an apocalyptic number.

86406014601 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

86406014601 is the 293949-th square number.

86406014601 is the 146975-th centered octagonal number.

It is an amenable number.

86406014601 is a deficient number, since it is larger than the sum of its proper divisors (51096501732).

86406014601 is an frugal number, since it uses more digits than its factorization.

86406014601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 86406014601 by its sum of digits (36), we get a square (3110616525636 = 1763694²).

The spelling of 86406014601 in words is "eighty-six billion, four hundred six million, fourteen thousand, six hundred one".