48551226272641 has 7 divisors (see below), whose sum is σ = 48806759042497. Its totient is φ = 48297031370690.

The previous prime is 48551226272599. The next prime is 48551226272663. The reversal of 48551226272641 is 14627262215584.

The square root of 48551226272641 is 6967871.

The cubic root of 48551226272641 is 36481.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is not a de Polignac number, because 48551226272641 - 2⁷ = 48551226272513 is a prime.

It is a super-3 number, since 3×48551226272641³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48551226272041) 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 6 ways as a sum of consecutive naturals, for example, 254194901856 + ... + 254194902046.

Almost surely, 2^{48551226272641} is an apocalyptic number.

48551226272641 is the 6967871-st square number.

48551226272641 is the 3483936-th centered octagonal number.

It is an amenable number.

48551226272641 is a deficient number, since it is larger than the sum of its proper divisors (255532769856).

48551226272641 is an frugal number, since it uses more digits than its factorization.

48551226272641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 191 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 55.

The spelling of 48551226272641 in words is "forty-eight trillion, five hundred fifty-one billion, two hundred twenty-six million, two hundred seventy-two thousand, six hundred forty-one".