66514473216 has 243 divisors, whose sum is σ = 200149318551. Its totient is φ = 22060076544.

The previous prime is 66514473199. The next prime is 66514473217. The reversal of 66514473216 is 61237441566.

The square root of 66514473216 is 257904.

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

66514473216 is a `hidden beast` number, since 66 + 514 + 4 + 73 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (243).

It is not an unprimeable number, because it can be changed into a prime (66514473217) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 334243485 + ... + 334243683.

Almost surely, 2^66514473216 is an apocalyptic number.

66514473216 is the 257904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66514473216

66514473216 is an abundant number, since it is smaller than the sum of its proper divisors (133634845335).

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

66514473216 is an frugal number, since it uses more digits than its factorization.

66514473216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 204 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 66514473216 in words is "sixty-six billion, five hundred fourteen million, four hundred seventy-three thousand, two hundred sixteen".