534337254648960 has 256 divisors, whose sum is σ = 1946652087363840. Its totient is φ = 122125583204352.

The previous prime is 534337254648949. The next prime is 534337254648971. The reversal of 534337254648960 is 69846452733435.

It is an interprime number because it is at equal distance from previous prime (534337254648949) and next prime (534337254648971).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189407482 + ... + 192207878.

It is an arithmetic number, because the mean of its divisors is an integer number (7604109716265).

Almost surely, 2^{534337254648960} 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 534337254648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973326043681920).

534337254648960 is an abundant number, since it is smaller than the sum of its proper divisors (1412314832714880).

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

534337254648960 is a wasteful number, since it uses less digits than its factorization.

534337254648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814623 (or 2814611 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 69.

The spelling of 534337254648960 in words is "five hundred thirty-four trillion, three hundred thirty-seven billion, two hundred fifty-four million, six hundred forty-eight thousand, nine hundred sixty".