534809388384 has 144 divisors (see below), whose sum is σ = 1558830952224. Its totient is φ = 173824358400.

The previous prime is 534809388383. The next prime is 534809388397. The reversal of 534809388384 is 483883908435.

534809388384 is a `hidden beast` number, since 53 + 48 + 0 + 93 + 88 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534809388383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22813149 + ... + 22836579.

It is an arithmetic number, because the mean of its divisors is an integer number (10825214946).

Almost surely, 2^534809388384 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 534809388384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779415476112).

534809388384 is an abundant number, since it is smaller than the sum of its proper divisors (1024021563840).

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

534809388384 is a wasteful number, since it uses less digits than its factorization.

534809388384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25421 (or 25410 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 534809388384 in words is "five hundred thirty-four billion, eight hundred nine million, three hundred eighty-eight thousand, three hundred eighty-four".