10198576144 has 15 divisors (see below), whose sum is σ = 19760523967. Its totient is φ = 5099086096.

The previous prime is 10198576121. The next prime is 10198576147. The reversal of 10198576144 is 44167589101.

The square root of 10198576144 is 100988.

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

10198576144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10198576094 and 10198576103.

It is not an unprimeable number, because it can be changed into a prime (10198576147) 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 2 ways as a sum of consecutive naturals, for example, 391329 + ... + 416575.

Almost surely, 2^10198576144 is an apocalyptic number.

10198576144 is the 100988-th square number.

It is an amenable number.

10198576144 is a deficient number, since it is larger than the sum of its proper divisors (9561947823).

10198576144 is an frugal number, since it uses more digits than its factorization.

10198576144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50502 (or 25249 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 10198576144 in words is "ten billion, one hundred ninety-eight million, five hundred seventy-six thousand, one hundred forty-four".