83287818478656 has 1323 divisors, whose sum is σ = 286445423075623. Its totient is φ = 23996837399040.

The previous prime is 83287818478637. The next prime is 83287818478663. The reversal of 83287818478656 is 65687481878238.

The square root of 83287818478656 is 9126216.

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

83287818478656 is a `hidden beast` number, since 8 + 3 + 2 + 8 + 7 + 81 + 8 + 478 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

Its product of digits (6936330240) is a multiple of the sum of its prime factors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 498729451885 + ... + 498729452051.

Almost surely, 2^{83287818478656} is an apocalyptic number.

83287818478656 is the 9126216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83287818478656

83287818478656 is an abundant number, since it is smaller than the sum of its proper divisors (203157604596967).

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

83287818478656 is an equidigital number, since it uses as much as digits as its factorization.

83287818478656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 206 counting only the distinct ones).

The product of its digits is 6936330240, while the sum is 81.

83287818478656 divided by its sum of digits (81) gives a square (1028244672576 = 1014024²).

The spelling of 83287818478656 in words is "eighty-three trillion, two hundred eighty-seven billion, eight hundred eighteen million, four hundred seventy-eight thousand, six hundred fifty-six".