86458933521 has 45 divisors (see below), whose sum is σ = 132890211531. Its totient is φ = 56017957968.

The previous prime is 86458933511. The next prime is 86458933537. The reversal of 86458933521 is 12533985468.

The square root of 86458933521 is 294039.

It is a perfect power (a square), and thus also a powerful number.

86458933521 is a `hidden beast` number, since 8 + 6 + 4 + 5 + 89 + 33 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77364641025 + 9094292496 = 278145^2 + 95364^2 .

It is not a de Polignac number, because 86458933521 - 2¹⁷ = 86458802449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86458933501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97914546 + ... + 97915428.

Almost surely, 2^86458933521 is an apocalyptic number.

86458933521 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

86458933521 is the 294039-th square number.

86458933521 is the 147020-th centered octagonal number.

It is an amenable number.

86458933521 is a deficient number, since it is larger than the sum of its proper divisors (46431278010).

86458933521 is an frugal number, since it uses more digits than its factorization.

86458933521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 923 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 86458933521 in words is "eighty-six billion, four hundred fifty-eight million, nine hundred thirty-three thousand, five hundred twenty-one".