534452314400000 has 216 divisors, whose sum is σ = 1333639947627288. Its totient is φ = 213748198400000.

The previous prime is 534452314399961. The next prime is 534452314400023. The reversal of 534452314400000 is 4413254435.

It can be written as a sum of positive squares in 12 ways, for example, as 534420470711296 + 31843688704 = 23117536^2 + 178448^2 .

It is a congruent number.

It is an unprimeable number.

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, 5610352370 + ... + 5610447630.

It is an arithmetic number, because the mean of its divisors is an integer number (6174259016793).

Almost surely, 2^{534452314400000} is an apocalyptic number.

534452314400000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534452314400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666819973813644).

534452314400000 is an abundant number, since it is smaller than the sum of its proper divisors (799187633227288).

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

534452314400000 is an frugal number, since it uses more digits than its factorization.

534452314400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102315 (or 102281 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 534452314400000 its reverse (4413254435), we get a palindrome (534456727654435).

The spelling of 534452314400000 in words is "five hundred thirty-four trillion, four hundred fifty-two billion, three hundred fourteen million, four hundred thousand".