86217402384 has 45 divisors (see below), whose sum is σ = 241298841693. Its totient is φ = 28737959616.

The previous prime is 86217402371. The next prime is 86217402389. The reversal of 86217402384 is 48320471268.

It is a happy number.

The square root of 86217402384 is 293628.

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., 12537728784 + 73679673600 = 111972^2 + 271440^2 .

It is not an unprimeable number, because it can be changed into a prime (86217402389) 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 8 ways as a sum of consecutive naturals, for example, 3511302 + ... + 3535770.

Almost surely, 2^86217402384 is an apocalyptic number.

86217402384 is the 293628-th square number.

It is an amenable number.

86217402384 is an abundant number, since it is smaller than the sum of its proper divisors (155081439309).

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

86217402384 is an frugal number, since it uses more digits than its factorization.

86217402384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48952 (or 24474 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

It can be divided in two parts, 86217 and 402384, that added together give a square (488601 = 699²).

The spelling of 86217402384 in words is "eighty-six billion, two hundred seventeen million, four hundred two thousand, three hundred eighty-four".