86447267541 has 12 divisors (see below), whose sum is σ = 124940020140. Its totient is φ = 57598398720.

The previous prime is 86447267539. The next prime is 86447267551. The reversal of 86447267541 is 14576274468.

86447267541 is a `hidden beast` number, since 8 + 64 + 472 + 6 + 75 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31283350641 + 55163916900 = 176871^2 + 234870^2 .

It is not a de Polignac number, because 86447267541 - 2¹ = 86447267539 is a prime.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (86447267551) 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, 2742876 + ... + 2774213.

It is an arithmetic number, because the mean of its divisors is an integer number (10411668345).

Almost surely, 2^86447267541 is an apocalyptic number.

It is an amenable number.

86447267541 is a deficient number, since it is larger than the sum of its proper divisors (38492752599).

86447267541 is a wasteful number, since it uses less digits than its factorization.

86447267541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5518836 (or 5518833 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 86447267541 in words is "eighty-six billion, four hundred forty-seven million, two hundred sixty-seven thousand, five hundred forty-one".