66839846718096 has 675 divisors, whose sum is σ = 206441466290059. Its totient is φ = 20877120230400.

The previous prime is 66839846718089. The next prime is 66839846718149. The reversal of 66839846718096 is 69081764893866.

The square root of 66839846718096 is 8175564.

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

66839846718096 is a `hidden beast` number, since 6 + 6 + 8 + 398 + 4 + 67 + 1 + 80 + 96 = 666.

66839846718096 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17650383927696 + 49189462790400 = 4201236^2 + 7013520^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 349946841361 + ... + 349946841551.

Almost surely, 2^{66839846718096} is an apocalyptic number.

66839846718096 is the 8175564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66839846718096

66839846718096 is an abundant number, since it is smaller than the sum of its proper divisors (139601619571963).

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

66839846718096 is an equidigital number, since it uses as much as digits as its factorization.

66839846718096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

66839846718096 divided by its sum of digits (81) gives a square (825183292816 = 908396²).

The spelling of 66839846718096 in words is "sixty-six trillion, eight hundred thirty-nine billion, eight hundred forty-six million, seven hundred eighteen thousand, ninety-six".