16844853191040 has 2048 divisors, whose sum is σ = 73928816640000. Its totient is φ = 3537698291712.

The previous prime is 16844853191017. The next prime is 16844853191041. The reversal of 16844853191040 is 4019135844861.

16844853191040 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 485 + 31 + 91 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16844853191041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15757579626 + ... + 15757580694.

It is an arithmetic number, because the mean of its divisors is an integer number (36098055000).

Almost surely, 2^{16844853191040} is an apocalyptic number.

16844853191040 is a gapful number since it is divisible by the number (10) 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 16844853191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36964408320000).

16844853191040 is an abundant number, since it is smaller than the sum of its proper divisors (57083963448960).

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

16844853191040 is a wasteful number, since it uses less digits than its factorization.

16844853191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 16844853191040 in words is "sixteen trillion, eight hundred forty-four billion, eight hundred fifty-three million, one hundred ninety-one thousand, forty".