10048085314 has 32 divisors (see below), whose sum is σ = 16178558976. Its totient is φ = 4663814400.

The previous prime is 10048085269. The next prime is 10048085339. The reversal of 10048085314 is 41358084001.

10048085314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 10048085314.

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 15 ways as a sum of consecutive naturals, for example, 740289 + ... + 753739.

It is an arithmetic number, because the mean of its divisors is an integer number (505579968).

Almost surely, 2^10048085314 is an apocalyptic number.

10048085314 is a deficient number, since it is larger than the sum of its proper divisors (6130473662).

10048085314 is a wasteful number, since it uses less digits than its factorization.

10048085314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13770.

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 10048085314 in words is "ten billion, forty-eight million, eighty-five thousand, three hundred fourteen".