4466776414464 has 648 divisors, whose sum is σ = 17083051909560. Its totient is φ = 1108747616256.

The previous prime is 4466776414459. The next prime is 4466776414543. The reversal of 4466776414464 is 4644146776644.

4466776414464 is a `hidden beast` number, since 4 + 4 + 6 + 67 + 76 + 41 + 4 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1916341862400 + 2550434552064 = 1384320^2 + 1597008^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24860502 + ... + 25039530.

Almost surely, 2^{4466776414464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4466776414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8541525954780).

4466776414464 is an abundant number, since it is smaller than the sum of its proper divisors (12616275495096).

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

4466776414464 is a wasteful number, since it uses less digits than its factorization.

4466776414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179095 (or 179071 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 63.

The spelling of 4466776414464 in words is "four trillion, four hundred sixty-six billion, seven hundred seventy-six million, four hundred fourteen thousand, four hundred sixty-four".