49576582252096 has 21 divisors (see below), whose sum is σ = 98378642183521. Its totient is φ = 24788262961792.

The previous prime is 49576582252091. The next prime is 49576582252151. The reversal of 49576582252096 is 69025228567594.

The square root of 49576582252096 is 7041064.

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., 49511487873600 + 65094378496 = 7036440^2 + 255136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49576582252091) 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 2 ways as a sum of consecutive naturals, for example, 55888446 + ... + 56768578.

Almost surely, 2^{49576582252096} is an apocalyptic number.

49576582252096 is the 7041064-th square number.

It is an amenable number.

49576582252096 is a deficient number, since it is larger than the sum of its proper divisors (48802059931425).

49576582252096 is an frugal number, since it uses more digits than its factorization.

49576582252096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760278 (or 880135 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 70.

The spelling of 49576582252096 in words is "forty-nine trillion, five hundred seventy-six billion, five hundred eighty-two million, two hundred fifty-two thousand, ninety-six".