10048351104 has 192 divisors, whose sum is σ = 32599098000. Its totient is φ = 3044828160.

The previous prime is 10048351099. The next prime is 10048351141. The reversal of 10048351104 is 40115384001.

It is a happy number.

10048351104 is a `hidden beast` number, since 100 + 48 + 3 + 511 + 0 + 4 = 666.

10048351104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406162 + ... + 430190.

Almost surely, 2^10048351104 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 10048351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16299549000).

10048351104 is an abundant number, since it is smaller than the sum of its proper divisors (22550746896).

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

10048351104 is a wasteful number, since it uses less digits than its factorization.

10048351104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24074 (or 24045 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10048351104 in words is "ten billion, forty-eight million, three hundred fifty-one thousand, one hundred four".