4533122340864 has 432 divisors, whose sum is σ = 14641716922560. Its totient is φ = 1394753126400.

The previous prime is 4533122340809. The next prime is 4533122340871. The reversal of 4533122340864 is 4680432213354.

4533122340864 is a `hidden beast` number, since 4 + 5 + 331 + 2 + 234 + 0 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×4533122340864² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174667089 + ... + 174693039.

Almost surely, 2^{4533122340864} 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 4533122340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320858461280).

4533122340864 is an abundant number, since it is smaller than the sum of its proper divisors (10108594581696).

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

4533122340864 is an frugal number, since it uses more digits than its factorization.

4533122340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26010 (or 25969 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 4533122340864 in words is "four trillion, five hundred thirty-three billion, one hundred twenty-two million, three hundred forty thousand, eight hundred sixty-four".