844431343472100 has 72 divisors (see below), whose sum is σ = 2443832009928288. Its totient is φ = 225125409920000.

The previous prime is 844431343472063. The next prime is 844431343472159. The reversal of 844431343472100 is 1274343134448.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 844431343472100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350558154 + ... + 352958753.

It is an arithmetic number, because the mean of its divisors is an integer number (33942111249004).

Almost surely, 2^{844431343472100} is an apocalyptic number.

It is an amenable number.

844431343472100 is an abundant number, since it is smaller than the sum of its proper divisors (1599400666456188).

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

844431343472100 is a wasteful number, since it uses less digits than its factorization.

844431343472100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703520925 (or 703520918 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 844431343472100 in words is "eight hundred forty-four trillion, four hundred thirty-one billion, three hundred forty-three million, four hundred seventy-two thousand, one hundred".