86841017344 has 33 divisors (see below), whose sum is σ = 173616081877. Its totient is φ = 43415793664.

The previous prime is 86841017323. The next prime is 86841017369. The reversal of 86841017344 is 44371014868.

The square root of 86841017344 is 294688.

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

It can be written as a sum of positive squares in only one way, i.e., 13204767744 + 73636249600 = 114912^2 + 271360^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86841017294 and 86841017303.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9425412 + ... + 9434620.

Almost surely, 2^86841017344 is an apocalyptic number.

86841017344 is the 294688-th square number.

It is an amenable number.

86841017344 is a deficient number, since it is larger than the sum of its proper divisors (86775064533).

86841017344 is an frugal number, since it uses more digits than its factorization.

86841017344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18438 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

It can be divided in two parts, 8684 and 1017344, that added together give a triangular number (1026028 = T₁₄₃₂).

The spelling of 86841017344 in words is "eighty-six billion, eight hundred forty-one million, seventeen thousand, three hundred forty-four".