534564211104 has 432 divisors, whose sum is σ = 1931197282560. Its totient is φ = 138698219520.

The previous prime is 534564211067. The next prime is 534564211109. The reversal of 534564211104 is 401112465435.

534564211104 is a `hidden beast` number, since 5 + 3 + 4 + 5 + 642 + 1 + 1 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (534564211109) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 282986992 + ... + 282988880.

It is an arithmetic number, because the mean of its divisors is an integer number (4470364080).

Almost surely, 2^534564211104 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 534564211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965598641280).

534564211104 is an abundant number, since it is smaller than the sum of its proper divisors (1396633071456).

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

534564211104 is a wasteful number, since it uses less digits than its factorization.

534564211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 534564211104 its reverse (401112465435), we get a palindrome (935676676539).

The spelling of 534564211104 in words is "five hundred thirty-four billion, five hundred sixty-four million, two hundred eleven thousand, one hundred four".