10048085316 has 60 divisors (see below), whose sum is σ = 26352406080. Its totient is φ = 3338558640.

The previous prime is 10048085269. The next prime is 10048085339. The reversal of 10048085316 is 61358084001.

10048085316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10048085316² (a number of 21 digits) contains 22 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 50905 + ... + 150623.

It is an arithmetic number, because the mean of its divisors is an integer number (439206768).

Almost surely, 2^10048085316 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 10048085316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13176203040).

10048085316 is an abundant number, since it is smaller than the sum of its proper divisors (16304320764).

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

10048085316 is a wasteful number, since it uses less digits than its factorization.

10048085316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100046 (or 100035 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10048085316 in words is "ten billion, forty-eight million, eighty-five thousand, three hundred sixteen".