84466444466448 has 60 divisors (see below), whose sum is σ = 257878614550128. Its totient is φ = 25595892262080.

The previous prime is 84466444466419. The next prime is 84466444466449.

84466444466448 is a `hidden beast` number, since 8 + 4 + 46 + 6 + 44 + 44 + 66 + 448 = 666.

84466444466448 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (84466444466449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26662386190 + ... + 26662389357.

Almost surely, 2^{84466444466448} is an apocalyptic number.

84466444466448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84466444466448 is an abundant number, since it is smaller than the sum of its proper divisors (173412170083680).

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

84466444466448 is a wasteful number, since it uses less digits than its factorization.

84466444466448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53324775572 (or 53324775563 counting only the distinct ones).

The product of its digits is 5435817984, while the sum is 72.

The spelling of 84466444466448 in words is "eighty-four trillion, four hundred sixty-six billion, four hundred forty-four million, four hundred sixty-six thousand, four hundred forty-eight".