49680844759296 has 81 divisors (see below), whose sum is σ = 143243098633999. Its totient is φ = 16560168811008.

The previous prime is 49680844759211. The next prime is 49680844759297. The reversal of 49680844759296 is 69295744808694.

The square root of 49680844759296 is 7048464.

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

49680844759296 is a `hidden beast` number, since 4 + 9 + 6 + 80 + 8 + 447 + 5 + 9 + 2 + 96 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49680844759297) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 338252851 + ... + 338399693.

Almost surely, 2^{49680844759296} is an apocalyptic number.

49680844759296 is the 7048464-th square number.

It is an amenable number.

49680844759296 is an abundant number, since it is smaller than the sum of its proper divisors (93562253874703).

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

49680844759296 is an frugal number, since it uses more digits than its factorization.

49680844759296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293708 (or 146848 counting only the distinct ones).

The product of its (nonzero) digits is 7524679680, while the sum is 81.

The spelling of 49680844759296 in words is "forty-nine trillion, six hundred eighty billion, eight hundred forty-four million, seven hundred fifty-nine thousand, two hundred ninety-six".