10083838383968 has 96 divisors (see below), whose sum is σ = 20274206752800. Its totient is φ = 4936181243904.

The previous prime is 10083838383923. The next prime is 10083838384001. The reversal of 10083838383968 is 86938383838001.

It is a super-4 number, since 4×10083838383968⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10083838383898 and 10083838383907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145146296 + ... + 145215752.

It is an arithmetic number, because the mean of its divisors is an integer number (211189653675).

Almost surely, 2^{10083838383968} is an apocalyptic number.

It is an amenable number.

10083838383968 is an abundant number, since it is smaller than the sum of its proper divisors (10190368368832).

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

10083838383968 is a wasteful number, since it uses less digits than its factorization.

10083838383968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70072 (or 70064 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 68.

The spelling of 10083838383968 in words is "ten trillion, eighty-three billion, eight hundred thirty-eight million, three hundred eighty-three thousand, nine hundred sixty-eight".