844461075468 has 96 divisors (see below), whose sum is σ = 2017573367040. Its totient is φ = 274824426240.

The previous prime is 844461075463. The next prime is 844461075473. The reversal of 844461075468 is 864570164448.

It is an interprime number because it is at equal distance from previous prime (844461075463) and next prime (844461075473).

It is a super-3 number, since 3×844461075468³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (844461075461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63875763 + ... + 63888981.

It is an arithmetic number, because the mean of its divisors is an integer number (21016389240).

Almost surely, 2^844461075468 is an apocalyptic number.

It is an amenable number.

844461075468 is an abundant number, since it is smaller than the sum of its proper divisors (1173112291572).

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

844461075468 is a wasteful number, since it uses less digits than its factorization.

844461075468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13927 (or 13925 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 844461075468 in words is "eight hundred forty-four billion, four hundred sixty-one million, seventy-five thousand, four hundred sixty-eight".