10448294688 has 144 divisors (see below), whose sum is σ = 32038022016. Its totient is φ = 3210831360.

The previous prime is 10448294677. The next prime is 10448294743. The reversal of 10448294688 is 88649284401.

It is a happy number.

10448294688 is a `hidden beast` number, since 10 + 4 + 482 + 94 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 4607731 + ... + 4609997.

It is an arithmetic number, because the mean of its divisors is an integer number (222486264).

Almost surely, 2^10448294688 is an apocalyptic number.

10448294688 is a gapful number since it is divisible by the number (18) 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 10448294688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16019011008).

10448294688 is an abundant number, since it is smaller than the sum of its proper divisors (21589727328).

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

10448294688 is a wasteful number, since it uses less digits than its factorization.

10448294688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 10448294688 in words is "ten billion, four hundred forty-eight million, two hundred ninety-four thousand, six hundred eighty-eight".