4354446444534 has 512 divisors, whose sum is σ = 11204382412800. Its totient is φ = 1245931315200.

The previous prime is 4354446444521. The next prime is 4354446444559.

4354446444534 is a `hidden beast` number, since 4 + 3 + 5 + 4 + 4 + 4 + 64 + 44 + 534 = 666.

4354446444534 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4354446444534² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6668370952 + ... + 6668371604.

It is an arithmetic number, because the mean of its divisors is an integer number (21883559400).

Almost surely, 2^{4354446444534} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4354446444534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602191206400).

4354446444534 is an abundant number, since it is smaller than the sum of its proper divisors (6849935968266).

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

4354446444534 is a wasteful number, since it uses less digits than its factorization.

4354446444534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 911 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 54.

The spelling of 4354446444534 in words is "four trillion, three hundred fifty-four billion, four hundred forty-six million, four hundred forty-four thousand, five hundred thirty-four".