86243102784 has 224 divisors, whose sum is σ = 265532006400. Its totient is φ = 27755094528.

The previous prime is 86243102773. The next prime is 86243102837. The reversal of 86243102784 is 48720134268.

It is a happy number.

86243102784 is a `hidden beast` number, since 8 + 62 + 4 + 310 + 278 + 4 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4048449 + ... + 4069695.

Almost surely, 2^86243102784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86243102784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132766003200).

86243102784 is an abundant number, since it is smaller than the sum of its proper divisors (179288903616).

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

86243102784 is an equidigital number, since it uses as much as digits as its factorization.

86243102784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21309 (or 21281 counting only the distinct ones).

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

The spelling of 86243102784 in words is "eighty-six billion, two hundred forty-three million, one hundred two thousand, seven hundred eighty-four".