542306968352 has 90 divisors (see below), whose sum is σ = 1122506286993. Its totient is φ = 257895851136.

The previous prime is 542306968349. The next prime is 542306968369. The reversal of 542306968352 is 253869603245.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 541984550416 + 322417936 = 736196^2 + 17956^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=520724.

It is a junction number, because it is equal to n+sod(n) for n = 542306968294 and 542306968303.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8094133823 + ... + 8094133889.

Almost surely, 2^542306968352 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 542306968352

542306968352 is an abundant number, since it is smaller than the sum of its proper divisors (580199318641).

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

542306968352 is an frugal number, since it uses more digits than its factorization.

542306968352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 53.

The spelling of 542306968352 in words is "five hundred forty-two billion, three hundred six million, nine hundred sixty-eight thousand, three hundred fifty-two".