48448142620900 has 81 divisors (see below), whose sum is σ = 115560656364027. Its totient is φ = 17617227988800.

The previous prime is 48448142620897. The next prime is 48448142620903. The reversal of 48448142620900 is 902624184484.

The square root of 48448142620900 is 6960470.

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

It is an interprime number because it is at equal distance from previous prime (48448142620897) and next prime (48448142620903).

It can be written as a sum of positive squares in 4 ways, for example, as 24829631248356 + 23618511372544 = 4982934^2 + 4859888^2 .

It is a super-2 number, since 2×48448142620900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48448142620903) 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 26 ways as a sum of consecutive naturals, for example, 765620062 + ... + 765683338.

Almost surely, 2^{48448142620900} is an apocalyptic number.

48448142620900 is the 6960470-th square number.

It is an amenable number.

48448142620900 is an abundant number, since it is smaller than the sum of its proper divisors (67112513743127).

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

48448142620900 is an frugal number, since it uses more digits than its factorization.

48448142620900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126590 (or 63295 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 52.

The spelling of 48448142620900 in words is "forty-eight trillion, four hundred forty-eight billion, one hundred forty-two million, six hundred twenty thousand, nine hundred".