844868013966144 has 840 divisors, whose sum is σ = 3017550590109000. Its totient is φ = 232777303621632.

The previous prime is 844868013966139. The next prime is 844868013966167. The reversal of 844868013966144 is 441669310868448.

844868013966144 is a `hidden beast` number, since 8 + 4 + 486 + 8 + 0 + 13 + 96 + 6 + 1 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 388143585849600 + 456724428116544 = 19701360^2 + 21371112^2 .

It is a super-2 number, since 2×844868013966144² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5959398492 + ... + 5959540260.

Almost surely, 2^{844868013966144} is an apocalyptic number.

844868013966144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844868013966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508775295054500).

844868013966144 is an abundant number, since it is smaller than the sum of its proper divisors (2172682576142856).

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

844868013966144 is a wasteful number, since it uses less digits than its factorization.

844868013966144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142645 (or 142619 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 844868013966144 in words is "eight hundred forty-four trillion, eight hundred sixty-eight billion, thirteen million, nine hundred sixty-six thousand, one hundred forty-four".