86221030238784 has 567 divisors, whose sum is σ = 303517450915497. Its totient is φ = 23330000526336.

The previous prime is 86221030238729. The next prime is 86221030238789. The reversal of 86221030238784 is 48783203012268.

The square root of 86221030238784 is 9285528.

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

86221030238784 is a `hidden beast` number, since 8 + 6 + 221 + 0 + 30 + 2 + 387 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74772822648384 + 11448207590400 = 8647128^2 + 3383520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86221030238784.

It is not an unprimeable number, because it can be changed into a prime (86221030238789) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29639403922 + ... + 29639406830.

Almost surely, 2^{86221030238784} is an apocalyptic number.

86221030238784 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

86221030238784 is the 9285528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86221030238784

86221030238784 is an abundant number, since it is smaller than the sum of its proper divisors (217296420676713).

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

86221030238784 is an equidigital number, since it uses as much as digits as its factorization.

86221030238784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 86221030238784 in words is "eighty-six trillion, two hundred twenty-one billion, thirty million, two hundred thirty-eight thousand, seven hundred eighty-four".