10048124856 has 512 divisors, whose sum is σ = 35271936000. Its totient is φ = 2305228800.

The previous prime is 10048124851. The next prime is 10048124857. The reversal of 10048124856 is 65842184001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10048124851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37353490 + ... + 37353758.

It is an arithmetic number, because the mean of its divisors is an integer number (68890500).

Almost surely, 2^10048124856 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 10048124856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635968000).

10048124856 is an abundant number, since it is smaller than the sum of its proper divisors (25223811144).

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

10048124856 is a wasteful number, since it uses less digits than its factorization.

10048124856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 10048124856 in words is "ten billion, forty-eight million, one hundred twenty-four thousand, eight hundred fifty-six".