10046744448 has 384 divisors, whose sum is σ = 30964654080. Its totient is φ = 2878267392.

The previous prime is 10046744431. The next prime is 10046744479. The reversal of 10046744448 is 84444764001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79108161 + ... + 79108287.

It is an arithmetic number, because the mean of its divisors is an integer number (80637120).

Almost surely, 2^10046744448 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 10046744448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482327040).

10046744448 is an abundant number, since it is smaller than the sum of its proper divisors (20917909632).

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

10046744448 is a wasteful number, since it uses less digits than its factorization.

10046744448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 10046744448 in words is "ten billion, forty-six million, seven hundred forty-four thousand, four hundred forty-eight".