8385100015838 has 32 divisors (see below), whose sum is σ = 16153236158976. Its totient is φ = 3172957099488.

The previous prime is 8385100015813. The next prime is 8385100015843.

It is a happy number.

8385100015838 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1001560556 + ... + 1001568927.

It is an arithmetic number, because the mean of its divisors is an integer number (504788629968).

Almost surely, 2^{8385100015838} is an apocalyptic number.

8385100015838 is a deficient number, since it is larger than the sum of its proper divisors (7768136143138).

8385100015838 is a wasteful number, since it uses less digits than its factorization.

8385100015838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003129528.

The product of its (nonzero) digits is 921600, while the sum is 50.

It can be divided in two parts, 83851000 and 15838, that added together give a palindrome (83866838).

The spelling of 8385100015838 in words is "eight trillion, three hundred eighty-five billion, one hundred million, fifteen thousand, eight hundred thirty-eight".