10048455648 has 720 divisors, whose sum is σ = 38932185600. Its totient is φ = 2483965440.

The previous prime is 10048455643. The next prime is 10048455667. The reversal of 10048455648 is 84655484001.

It is a happy number.

10048455648 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 84 + 5 + 564 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10048455643) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50494653 + ... + 50494851.

It is an arithmetic number, because the mean of its divisors is an integer number (54072480).

Almost surely, 2^10048455648 is an apocalyptic number.

10048455648 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 10048455648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19466092800).

10048455648 is an abundant number, since it is smaller than the sum of its proper divisors (28883729952).

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

10048455648 is a wasteful number, since it uses less digits than its factorization.

10048455648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 10048455648 in words is "ten billion, forty-eight million, four hundred fifty-five thousand, six hundred forty-eight".