383980175106 has 64 divisors (see below), whose sum is σ = 876338749440. Its totient is φ = 111026298240.

The previous prime is 383980175101. The next prime is 383980175107. The reversal of 383980175106 is 601571089383.

It is a super-2 number, since 2×383980175106² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (383980175101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 311631 + ... + 930093.

It is an arithmetic number, because the mean of its divisors is an integer number (13692792960).

Almost surely, 2^383980175106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383980175106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438169374720).

383980175106 is an abundant number, since it is smaller than the sum of its proper divisors (492358574334).

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

383980175106 is a wasteful number, since it uses less digits than its factorization.

383980175106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618911.

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 383980175106 in words is "three hundred eighty-three billion, nine hundred eighty million, one hundred seventy-five thousand, one hundred six".