86053841863441 has 9 divisors (see below), whose sum is σ = 89958208958121. Its totient is φ = 82312166394612.

The previous prime is 86053841863387. The next prime is 86053841863463. The reversal of 86053841863441 is 14436814835068.

The square root of 86053841863441 is 9276521.

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

It is not a de Polignac number, because 86053841863441 - 2¹⁵ = 86053841830673 is a prime.

It is a super-2 number, since 2×86053841863441² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86053841863441.

It is not an unprimeable number, because it can be changed into a prime (86053841863471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 213158320 + ... + 213561646.

Almost surely, 2^{86053841863441} is an apocalyptic number.

86053841863441 is the 9276521-st square number.

86053841863441 is the 4638261-st centered octagonal number.

It is an amenable number.

86053841863441 is a deficient number, since it is larger than the sum of its proper divisors (3904367094680).

86053841863441 is an frugal number, since it uses more digits than its factorization.

86053841863441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806700 (or 403350 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 61.

The spelling of 86053841863441 in words is "eighty-six trillion, fifty-three billion, eight hundred forty-one million, eight hundred sixty-three thousand, four hundred forty-one".