86064642981 has 12 divisors (see below), whose sum is σ = 124319302380. Its totient is φ = 57374717760.

The previous prime is 86064642971. The next prime is 86064642991. The reversal of 86064642981 is 18924646068.

86064642981 is a `hidden beast` number, since 8 + 606 + 4 + 6 + 4 + 29 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (86064642971) and next prime (86064642991).

It can be written as a sum of positive squares in 2 ways, for example, as 45046242081 + 41018400900 = 212241^2 + 202530^2 .

It is not a de Polignac number, because 86064642981 - 2¹⁷ = 86064511909 is a prime.

It is a super-2 number, since 2×86064642981² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86064642971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226225 + ... + 472553.

It is an arithmetic number, because the mean of its divisors is an integer number (10359941865).

Almost surely, 2^86064642981 is an apocalyptic number.

It is an amenable number.

86064642981 is a deficient number, since it is larger than the sum of its proper divisors (38254659399).

86064642981 is a wasteful number, since it uses less digits than its factorization.

86064642981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285156 (or 285153 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 86064642981 in words is "eighty-six billion, sixty-four million, six hundred forty-two thousand, nine hundred eighty-one".