86088841281 has 21 divisors (see below), whose sum is σ = 129086094801. Its totient is φ = 57387279492.

The previous prime is 86088841229. The next prime is 86088841283. The reversal of 86088841281 is 18214888068.

The square root of 86088841281 is 293409.

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

86088841281 is a `hidden beast` number, since 8 + 608 + 8 + 8 + 4 + 1 + 28 + 1 = 666.

It is not a de Polignac number, because 86088841281 - 2¹¹ = 86088839233 is a prime.

It is a super-2 number, since 2×86088841281² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86088841283) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7916610 + ... + 7927476.

Almost surely, 2^86088841281 is an apocalyptic number.

86088841281 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

86088841281 is the 293409-th square number.

86088841281 is the 146705-th centered octagonal number.

It is an amenable number.

86088841281 is a deficient number, since it is larger than the sum of its proper divisors (42997253520).

86088841281 is an frugal number, since it uses more digits than its factorization.

86088841281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21752 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

It can be divided in two parts, 86088 and 841281, that added together give a square (927369 = 963²).

The spelling of 86088841281 in words is "eighty-six billion, eighty-eight million, eight hundred forty-one thousand, two hundred eighty-one".