10398920448 has 288 divisors, whose sum is σ = 33912216576. Its totient is φ = 2763915264.

The previous prime is 10398920447. The next prime is 10398920459. The reversal of 10398920448 is 84402989301.

10398920448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10398920397 and 10398920406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10398920447) 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 31 ways as a sum of consecutive naturals, for example, 4573840 + ... + 4576112.

It is an arithmetic number, because the mean of its divisors is an integer number (117750752).

Almost surely, 2^10398920448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10398920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16956108288).

10398920448 is an abundant number, since it is smaller than the sum of its proper divisors (23513296128).

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

10398920448 is a wasteful number, since it uses less digits than its factorization.

10398920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 10398920448 in words is "ten billion, three hundred ninety-eight million, nine hundred twenty thousand, four hundred forty-eight".