66485433458466 has 192 divisors, whose sum is σ = 173529551010816. Its totient is φ = 18161119641600.

The previous prime is 66485433458399. The next prime is 66485433458513.

It is a happy number.

66485433458466 is a `hidden beast` number, since 6 + 6 + 4 + 8 + 5 + 4 + 3 + 34 + 584 + 6 + 6 = 666.

66485433458466 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×66485433458466² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66485433458394 and 66485433458403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6837216 + ... + 13405908.

It is an arithmetic number, because the mean of its divisors is an integer number (903799744848).

Almost surely, 2^{66485433458466} is an apocalyptic number.

66485433458466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66485433458466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86764775505408).

66485433458466 is an abundant number, since it is smaller than the sum of its proper divisors (107044117552350).

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

66485433458466 is a wasteful number, since it uses less digits than its factorization.

66485433458466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6568857 (or 6568854 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 72.

The spelling of 66485433458466 in words is "sixty-six trillion, four hundred eighty-five billion, four hundred thirty-three million, four hundred fifty-eight thousand, four hundred sixty-six".