4334485385664 has 672 divisors, whose sum is σ = 14740888780800. Its totient is φ = 1192148305920.

The previous prime is 4334485385591. The next prime is 4334485385677. The reversal of 4334485385664 is 4665835844334.

4334485385664 is a `hidden beast` number, since 4 + 3 + 3 + 4 + 48 + 538 + 56 + 6 + 4 = 666.

4334485385664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

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, 6272771559 + ... + 6272772249.

It is an arithmetic number, because the mean of its divisors is an integer number (21935846400).

Almost surely, 2^{4334485385664} 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 4334485385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370444390400).

4334485385664 is an abundant number, since it is smaller than the sum of its proper divisors (10406403395136).

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

4334485385664 is a wasteful number, since it uses less digits than its factorization.

4334485385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1248 counting only the distinct ones).

The product of its digits is 398131200, while the sum is 63.

The spelling of 4334485385664 in words is "four trillion, three hundred thirty-four billion, four hundred eighty-five million, three hundred eighty-five thousand, six hundred sixty-four".