10448813600 has 144 divisors (see below), whose sum is σ = 26068097160. Its totient is φ = 4088832000.

The previous prime is 10448813567. The next prime is 10448813623. The reversal of 10448813600 is 631884401.

It can be written as a sum of positive squares in 12 ways, for example, as 4252604944 + 6196208656 = 65212^2 + 78716^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7190474 + ... + 7191926.

Almost surely, 2^10448813600 is an apocalyptic number.

10448813600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10448813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13034048580).

10448813600 is an abundant number, since it is smaller than the sum of its proper divisors (15619283560).

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

10448813600 is a wasteful number, since it uses less digits than its factorization.

10448813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 10448813600 in words is "ten billion, four hundred forty-eight million, eight hundred thirteen thousand, six hundred".