98448385917456 has 135 divisors (see below), whose sum is σ = 276238705054221. Its totient is φ = 32730599999232.

The previous prime is 98448385917437. The next prime is 98448385917509. The reversal of 98448385917456 is 65471958384489.

The square root of 98448385917456 is 9922116.

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

98448385917456 is a `hidden beast` number, since 9 + 8 + 4 + 4 + 83 + 85 + 9 + 1 + 7 + 456 = 666.

98448385917456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31346337488400 + 67102048429056 = 5598780^2 + 8191584^2 .

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 26 ways as a sum of consecutive naturals, for example, 59413629780 + ... + 59413631436.

Almost surely, 2^{98448385917456} is an apocalyptic number.

98448385917456 is the 9922116-th square number.

It is an amenable number.

98448385917456 is an abundant number, since it is smaller than the sum of its proper divisors (177790319136765).

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

98448385917456 is an frugal number, since it uses more digits than its factorization.

98448385917456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 2161 counting only the distinct ones).

The product of its digits is 8360755200, while the sum is 81.

The spelling of 98448385917456 in words is "ninety-eight trillion, four hundred forty-eight billion, three hundred eighty-five million, nine hundred seventeen thousand, four hundred fifty-six".