86347415484441 has 24 divisors (see below), whose sum is σ = 126590610032640. Its totient is φ = 56704860744000.

The previous prime is 86347415484439. The next prime is 86347415484709. The reversal of 86347415484441 is 14448451474368.

86347415484441 is a `hidden beast` number, since 8 + 6 + 3 + 4 + 7 + 4 + 1 + 548 + 44 + 41 = 666.

It is not a de Polignac number, because 86347415484441 - 2¹ = 86347415484439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86347415480441) 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, 57965196 + ... + 59436173.

It is an arithmetic number, because the mean of its divisors is an integer number (5274608751360).

Almost surely, 2^{86347415484441} is an apocalyptic number.

It is an amenable number.

86347415484441 is a deficient number, since it is larger than the sum of its proper divisors (40243194548199).

86347415484441 is a wasteful number, since it uses less digits than its factorization.

86347415484441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117402597 (or 117402594 counting only the distinct ones).

The product of its digits is 165150720, while the sum is 63.

The spelling of 86347415484441 in words is "eighty-six trillion, three hundred forty-seven billion, four hundred fifteen million, four hundred eighty-four thousand, four hundred forty-one".