86124729076281 has 135 divisors (see below), whose sum is σ = 157972244790591. Its totient is φ = 46617899823936.

The previous prime is 86124729076247. The next prime is 86124729076297. The reversal of 86124729076281 is 18267092742168.

It is a happy number.

The square root of 86124729076281 is 9280341.

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

86124729076281 is a `hidden beast` number, since 8 + 6 + 1 + 2 + 472 + 90 + 76 + 2 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85725284852025 + 399444224256 = 9258795^2 + 632016^2 .

It is not a de Polignac number, because 86124729076281 - 2³³ = 86116139141689 is a prime.

It is a super-2 number, since 2×86124729076281² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (86124729076081) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11108564301 + ... + 11108572053.

Almost surely, 2^{86124729076281} is an apocalyptic number.

86124729076281 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

86124729076281 is the 9280341-st square number.

86124729076281 is the 4640171-st centered octagonal number.

It is an amenable number.

86124729076281 is a deficient number, since it is larger than the sum of its proper divisors (71847515714310).

86124729076281 is an frugal number, since it uses more digits than its factorization.

86124729076281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15570 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 86124729076281 in words is "eighty-six trillion, one hundred twenty-four billion, seven hundred twenty-nine million, seventy-six thousand, two hundred eighty-one".