844268164431 has 32 divisors (see below), whose sum is σ = 1236600276480. Its totient is φ = 509979254400.

The previous prime is 844268164429. The next prime is 844268164459. The reversal of 844268164431 is 134461862448.

844268164431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 844268164431 - 2¹ = 844268164429 is a prime.

It is a super-2 number, since 2×844268164431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844268164231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13000261 + ... + 13065041.

It is an arithmetic number, because the mean of its divisors is an integer number (38643758640).

Almost surely, 2^844268164431 is an apocalyptic number.

844268164431 is a deficient number, since it is larger than the sum of its proper divisors (392332112049).

844268164431 is a wasteful number, since it uses less digits than its factorization.

844268164431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74767.

The product of its digits is 3538944, while the sum is 51.

The spelling of 844268164431 in words is "eight hundred forty-four billion, two hundred sixty-eight million, one hundred sixty-four thousand, four hundred thirty-one".