542355656704 has 117 divisors (see below), whose sum is σ = 1118279805321. Its totient is φ = 263000309760.

The previous prime is 542355656693. The next prime is 542355656761. The reversal of 542355656704 is 407656553245.

The square root of 542355656704 is 736448.

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

It can be written as a sum of positive squares in only one way, i.e., 485307289600 + 57048367104 = 696640^2 + 238848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1743908709 + ... + 1743909019.

Almost surely, 2^542355656704 is an apocalyptic number.

542355656704 is the 736448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542355656704

542355656704 is an abundant number, since it is smaller than the sum of its proper divisors (575924148617).

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

542355656704 is an frugal number, since it uses more digits than its factorization.

542355656704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 52.

The spelling of 542355656704 in words is "five hundred forty-two billion, three hundred fifty-five million, six hundred fifty-six thousand, seven hundred four".