48121441956 has 135 divisors (see below), whose sum is σ = 146421661617. Its totient is φ = 13741086240.

The previous prime is 48121441939. The next prime is 48121441967. The reversal of 48121441956 is 65914412184.

The square root of 48121441956 is 219366.

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., 55264356 + 48066177600 = 7434^2 + 219240^2 .

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 44 ways as a sum of consecutive naturals, for example, 27639246 + ... + 27640986.

Almost surely, 2^48121441956 is an apocalyptic number.

48121441956 is the 219366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48121441956

48121441956 is an abundant number, since it is smaller than the sum of its proper divisors (98300219661).

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

48121441956 is an equidigital number, since it uses as much as digits as its factorization.

48121441956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 1753 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 48121441956 in words is "forty-eight billion, one hundred twenty-one million, four hundred forty-one thousand, nine hundred fifty-six".