5434605338176 has 315 divisors, whose sum is σ = 13320490278321. Its totient is φ = 2199481869312.

The previous prime is 5434605338171. The next prime is 5434605338221. The reversal of 5434605338176 is 6718335064345.

The square root of 5434605338176 is 2331224.

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., 34670440000 + 5399934898176 = 186200^2 + 2323776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5434605338171) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17362956196 + ... + 17362956508.

Almost surely, 2^{5434605338176} is an apocalyptic number.

5434605338176 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5434605338176 is the 2331224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5434605338176

5434605338176 is an abundant number, since it is smaller than the sum of its proper divisors (7885884940145).

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

5434605338176 is an frugal number, since it uses more digits than its factorization.

5434605338176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 55.

The spelling of 5434605338176 in words is "five trillion, four hundred thirty-four billion, six hundred five million, three hundred thirty-eight thousand, one hundred seventy-six".