48658981408801 has 27 divisors (see below), whose sum is σ = 50040310451481. Its totient is φ = 47315320602624.

The previous prime is 48658981408789. The next prime is 48658981408819. The reversal of 48658981408801 is 10880418985684.

It is a happy number.

The square root of 48658981408801 is 6975599.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6707763304225 + 41951218104576 = 2589935^2 + 6476976^2 .

It is not a de Polignac number, because 48658981408801 - 2⁵ = 48658981408769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48658981408831) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 63275658145 + ... + 63275658913.

Almost surely, 2^{48658981408801} is an apocalyptic number.

48658981408801 is the 6975599-th square number.

48658981408801 is the 3487800-th centered octagonal number.

It is an amenable number.

48658981408801 is a deficient number, since it is larger than the sum of its proper divisors (1381329042680).

48658981408801 is an frugal number, since it uses more digits than its factorization.

48658981408801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 70.

The spelling of 48658981408801 in words is "forty-eight trillion, six hundred fifty-eight billion, nine hundred eighty-one million, four hundred eight thousand, eight hundred one".