10048038336 has 336 divisors, whose sum is σ = 35627364864. Its totient is φ = 2745363456.

The previous prime is 10048038331. The next prime is 10048038389. The reversal of 10048038336 is 63383084001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10048038336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10048038331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2501866 + ... + 2505878.

It is an arithmetic number, because the mean of its divisors is an integer number (106033824).

Almost surely, 2^10048038336 is an apocalyptic number.

10048038336 is a gapful number since it is divisible by the number (16) 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 10048038336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17813682432).

10048038336 is an abundant number, since it is smaller than the sum of its proper divisors (25579326528).

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

10048038336 is an equidigital number, since it uses as much as digits as its factorization.

10048038336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10048038336 in words is "ten billion, forty-eight million, thirty-eight thousand, three hundred thirty-six".