86661939456 has 81 divisors (see below), whose sum is σ = 249908484189. Its totient is φ = 28882603008.

The previous prime is 86661939409. The next prime is 86661939503. The reversal of 86661939456 is 65493916668.

The square root of 86661939456 is 294384.

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

It is an interprime number because it is at equal distance from previous prime (86661939409) and next prime (86661939503).

It can be written as a sum of positive squares in only one way, i.e., 83914502400 + 2747437056 = 289680^2 + 52416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86661939393 and 86661939402.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14127366 + ... + 14133498.

Almost surely, 2^86661939456 is an apocalyptic number.

86661939456 is the 294384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86661939456

86661939456 is an abundant number, since it is smaller than the sum of its proper divisors (163246544733).

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

86661939456 is an frugal number, since it uses more digits than its factorization.

86661939456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12288 (or 6138 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 86661939456 in words is "eighty-six billion, six hundred sixty-one million, nine hundred thirty-nine thousand, four hundred fifty-six".