5446883828736 has 891 divisors, whose sum is σ = 19253098762443. Its totient is φ = 1478731161600.

The previous prime is 5446883828689. The next prime is 5446883828801. The reversal of 5446883828736 is 6378283886445.

The square root of 5446883828736 is 2333856.

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

5446883828736 is a `hidden beast` number, since 5 + 4 + 468 + 8 + 3 + 82 + 87 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 36072078261 + ... + 36072078411.

Almost surely, 2^{5446883828736} is an apocalyptic number.

5446883828736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5446883828736 is the 2333856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5446883828736

5446883828736 is an abundant number, since it is smaller than the sum of its proper divisors (13806214933707).

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

5446883828736 is a wasteful number, since it uses less digits than its factorization.

5446883828736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 186 counting only the distinct ones).

The product of its digits is 1486356480, while the sum is 72.

The spelling of 5446883828736 in words is "five trillion, four hundred forty-six billion, eight hundred eighty-three million, eight hundred twenty-eight thousand, seven hundred thirty-six".