86147281781136 has 225 divisors, whose sum is σ = 250392844753051. Its totient is φ = 28594469219904.

The previous prime is 86147281781131. The next prime is 86147281781153. The reversal of 86147281781136 is 63118718274168.

The square root of 86147281781136 is 9281556.

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

86147281781136 is a `hidden beast` number, since 8 + 6 + 1 + 472 + 81 + 7 + 81 + 1 + 3 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86147281781131) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 115945197181 + ... + 115945197923.

Almost surely, 2^{86147281781136} is an apocalyptic number.

86147281781136 is the 9281556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86147281781136

86147281781136 is an abundant number, since it is smaller than the sum of its proper divisors (164245562971915).

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

86147281781136 is an frugal number, since it uses more digits than its factorization.

86147281781136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 1095 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 86147281781136 in words is "eighty-six trillion, one hundred forty-seven billion, two hundred eighty-one million, seven hundred eighty-one thousand, one hundred thirty-six".