844172164000 has 96 divisors (see below), whose sum is σ = 2262688489152. Its totient is φ = 306971680000.

The previous prime is 844172163983. The next prime is 844172164001. The reversal of 844172164000 is 461271448.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (844172164001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9548866 + ... + 9636865.

It is an arithmetic number, because the mean of its divisors is an integer number (23569671762).

Almost surely, 2^844172164000 is an apocalyptic number.

844172164000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

844172164000 is an abundant number, since it is smaller than the sum of its proper divisors (1418516325152).

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

844172164000 is a wasteful number, since it uses less digits than its factorization.

844172164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19185767 (or 19185749 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 844172164000 in words is "eight hundred forty-four billion, one hundred seventy-two million, one hundred sixty-four thousand".