842544309116160 has 1152 divisors, whose sum is σ = 3567790291968000. Its totient is φ = 184092697755648.

The previous prime is 842544309116143. The next prime is 842544309116171. The reversal of 842544309116160 is 61611903445248.

842544309116160 is a `hidden beast` number, since 8 + 4 + 2 + 5 + 4 + 4 + 3 + 0 + 9 + 11 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 842544309116097 and 842544309116106.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 9008328276 + ... + 9008421804.

It is an arithmetic number, because the mean of its divisors is an integer number (3097040184000).

Almost surely, 2^{842544309116160} is an apocalyptic number.

842544309116160 is a gapful number since it is divisible by the number (80) 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 842544309116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783895145984000).

842544309116160 is an abundant number, since it is smaller than the sum of its proper divisors (2725245982851840).

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

842544309116160 is a wasteful number, since it uses less digits than its factorization.

842544309116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95208 (or 95188 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 842544309116160 in words is "eight hundred forty-two trillion, five hundred forty-four billion, three hundred nine million, one hundred sixteen thousand, one hundred sixty".