86541000481 has 16 divisors (see below), whose sum is σ = 98670277440. Its totient is φ = 75242088000.

The previous prime is 86541000467. The next prime is 86541000509. The reversal of 86541000481 is 18400014568.

It is a cyclic number.

It is not a de Polignac number, because 86541000481 - 2⁵ = 86541000449 is a prime.

It is a super-2 number, since 2×86541000481² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86541000481.

It is not an unprimeable number, because it can be changed into a prime (86541000421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969895 + ... + 1055356.

It is an arithmetic number, because the mean of its divisors is an integer number (6166892340).

Almost surely, 2^86541000481 is an apocalyptic number.

It is an amenable number.

86541000481 is a deficient number, since it is larger than the sum of its proper divisors (12129276959).

86541000481 is a wasteful number, since it uses less digits than its factorization.

86541000481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025456.

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 86541000481 in words is "eighty-six billion, five hundred forty-one million, four hundred eighty-one", and thus it is an aban number.