86706354145617 has 24 divisors (see below), whose sum is σ = 126489783487080. Its totient is φ = 57228637708800.

The previous prime is 86706354145553. The next prime is 86706354145651. The reversal of 86706354145617 is 71654145360768.

86706354145617 is a `hidden beast` number, since 8 + 6 + 7 + 0 + 6 + 3 + 5 + 4 + 1 + 4 + 5 + 617 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20331946737216 + 66374407408401 = 4509096^2 + 8147049^2 .

It is not a de Polignac number, because 86706354145617 - 2⁶ = 86706354145553 is a prime.

It is a super-3 number, since 3×86706354145617³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (86706354145667) 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, 13191753 + ... + 18639609.

It is an arithmetic number, because the mean of its divisors is an integer number (5270407645295).

Almost surely, 2^{86706354145617} is an apocalyptic number.

It is an amenable number.

86706354145617 is a deficient number, since it is larger than the sum of its proper divisors (39783429341463).

86706354145617 is a wasteful number, since it uses less digits than its factorization.

86706354145617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465473 (or 5465470 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 86706354145617 in words is "eighty-six trillion, seven hundred six billion, three hundred fifty-four million, one hundred forty-five thousand, six hundred seventeen".