86431144018301 has 8 divisors (see below), whose sum is σ = 91515437448120. Its totient is φ = 81346862642688.

The previous prime is 86431144018253. The next prime is 86431144018313. The reversal of 86431144018301 is 10381044113468.

It can be written as a sum of positive squares in 4 ways, for example, as 21498152292100 + 64932991726201 = 4636610^2 + 8058101^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86431144018301 - 2¹⁸ = 86431143756157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86431144018321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14735465 + ... + 19748321.

It is an arithmetic number, because the mean of its divisors is an integer number (11439429681015).

Almost surely, 2^{86431144018301} is an apocalyptic number.

It is an amenable number.

86431144018301 is a deficient number, since it is larger than the sum of its proper divisors (5084293429819).

86431144018301 is a wasteful number, since it uses less digits than its factorization.

86431144018301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027103.

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 86431144018301 in words is "eighty-six trillion, four hundred thirty-one billion, one hundred forty-four million, eighteen thousand, three hundred one".