86454817024 has 243 divisors, whose sum is σ = 195801478117. Its totient is φ = 38087729152.

The previous prime is 86454817019. The next prime is 86454817027. The reversal of 86454817024 is 42071845468.

It is a happy number.

The square root of 86454817024 is 294032.

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

It can be written as a sum of positive squares in only one way, i.e., 67309113600 + 19145703424 = 259440^2 + 138368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86454817027) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1839464169 + ... + 1839464215.

Almost surely, 2^86454817024 is an apocalyptic number.

86454817024 is the 294032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86454817024

86454817024 is an abundant number, since it is smaller than the sum of its proper divisors (109346661093).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86454817024 is an equidigital number, since it uses as much as digits as its factorization.

86454817024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

Multiplying 86454817024 by its sum of digits (49), we get a square (4236286034176 = 2058224²).

The spelling of 86454817024 in words is "eighty-six billion, four hundred fifty-four million, eight hundred seventeen thousand, twenty-four".