542446221152 has 96 divisors (see below), whose sum is σ = 1182910417920. Its totient is φ = 242784622080.

The previous prime is 542446221151. The next prime is 542446221173. The reversal of 542446221152 is 251122644245.

It is a super-3 number, since 3×542446221152³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542446221151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 102752849 + ... + 102758127.

It is an arithmetic number, because the mean of its divisors is an integer number (12321983520).

Almost surely, 2^542446221152 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 542446221152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591455208960).

542446221152 is an abundant number, since it is smaller than the sum of its proper divisors (640464196768).

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

542446221152 is a wasteful number, since it uses less digits than its factorization.

542446221152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9716 counting only the distinct ones).

The product of its digits is 153600, while the sum is 38.

Adding to 542446221152 its reverse (251122644245), we get a palindrome (793568865397).

The spelling of 542446221152 in words is "five hundred forty-two billion, four hundred forty-six million, two hundred twenty-one thousand, one hundred fifty-two".