534903643904256 has 1701 divisors, whose sum is σ = 1829852982376209. Its totient is φ = 155864109772800.

The previous prime is 534903643904251. The next prime is 534903643904281. The reversal of 534903643904256 is 652409346309435.

The square root of 534903643904256 is 23127984.

It is a perfect power (a square), and thus also a powerful number.

534903643904256 is a `hidden beast` number, since 5 + 3 + 4 + 90 + 36 + 4 + 3 + 90 + 425 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156788463110400 + 378115180793856 = 12521520^2 + 19445184^2 .

It is a super-2 number, since 2×534903643904256² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 534903643904193 and 534903643904202.

It is not an unprimeable number, because it can be changed into a prime (534903643904251) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3407029578930 + ... + 3407029579086.

Almost surely, 2^{534903643904256} is an apocalyptic number.

534903643904256 is the 23127984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534903643904256

534903643904256 is an abundant number, since it is smaller than the sum of its proper divisors (1294949338471953).

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

534903643904256 is an frugal number, since it uses more digits than its factorization.

534903643904256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 63.

The spelling of 534903643904256 in words is "five hundred thirty-four trillion, nine hundred three billion, six hundred forty-three million, nine hundred four thousand, two hundred fifty-six".