5439567314944 has 405 divisors, whose sum is σ = 13454238953673. Its totient is φ = 2192425353216.

The previous prime is 5439567314933. The next prime is 5439567314953. The reversal of 5439567314944 is 4494137659345.

The square root of 5439567314944 is 2332288.

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., 3195227750400 + 2244339564544 = 1787520^2 + 1498112^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 39704870844 + ... + 39704870980.

Almost surely, 2^{5439567314944} is an apocalyptic number.

5439567314944 is the 2332288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5439567314944

5439567314944 is an abundant number, since it is smaller than the sum of its proper divisors (8014671638729).

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

5439567314944 is an frugal number, since it uses more digits than its factorization.

5439567314944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 165 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 64.

Multiplying 5439567314944 by its sum of digits (64), we get a square (348132308156416 = 18658304²).

5439567314944 divided by its sum of digits (64) gives a square (84993239296 = 291536²).

The spelling of 5439567314944 in words is "five trillion, four hundred thirty-nine billion, five hundred sixty-seven million, three hundred fourteen thousand, nine hundred forty-four".