86434988544 has 200 divisors, whose sum is σ = 258938686908. Its totient is φ = 28705259520.

The previous prime is 86434988501. The next prime is 86434988561. The reversal of 86434988544 is 44588943468.

86434988544 is a `hidden beast` number, since 8 + 6 + 4 + 3 + 4 + 9 + 88 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80719628544 + 5715360000 = 284112^2 + 75600^2 .

It is a super-2 number, since 2×86434988544² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11649924 + ... + 11657340.

Almost surely, 2^86434988544 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 86434988544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129469343454).

86434988544 is an abundant number, since it is smaller than the sum of its proper divisors (172503698364).

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

86434988544 is an equidigital number, since it uses as much as digits as its factorization.

86434988544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7703 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 86434988544 in words is "eighty-six billion, four hundred thirty-four million, nine hundred eighty-eight thousand, five hundred forty-four".