542202486336 has 441 divisors, whose sum is σ = 1880396132139. Its totient is φ = 154596895488.

The previous prime is 542202486313. The next prime is 542202486379. The reversal of 542202486336 is 633684202245.

The square root of 542202486336 is 736344.

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

542202486336 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 0 + 2 + 4 + 8 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (441).

It is a junction number, because it is equal to n+sod(n) for n = 542202486291 and 542202486300.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1113351885 + ... + 1113352371.

Almost surely, 2^542202486336 is an apocalyptic number.

542202486336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

542202486336 is the 736344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542202486336

542202486336 is an abundant number, since it is smaller than the sum of its proper divisors (1338193645803).

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

542202486336 is an frugal number, since it uses more digits than its factorization.

542202486336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 542202486336 in words is "five hundred forty-two billion, two hundred two million, four hundred eighty-six thousand, three hundred thirty-six".