542326199184 has 405 divisors, whose sum is σ = 1943092334001. Its totient is φ = 140687205120.

The previous prime is 542326199179. The next prime is 542326199263. The reversal of 542326199184 is 481991623245.

It is a happy number.

The square root of 542326199184 is 736428.

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

542326199184 is a `hidden beast` number, since 5 + 4 + 2 + 3 + 2 + 619 + 9 + 18 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 262984352400 + 279341846784 = 512820^2 + 528528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 542326199184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 680459074 + ... + 680459870.

Almost surely, 2^542326199184 is an apocalyptic number.

542326199184 is the 736428-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542326199184

542326199184 is an abundant number, since it is smaller than the sum of its proper divisors (1400766134817).

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

542326199184 is a wasteful number, since it uses less digits than its factorization.

542326199184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 820 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

It can be divided in two parts, 54232 and 6199184, that added together give a triangular number (6253416 = T₃₅₃₆).

The spelling of 542326199184 in words is "five hundred forty-two billion, three hundred twenty-six million, one hundred ninety-nine thousand, one hundred eighty-four".