16845271040 has 312 divisors, whose sum is σ = 45472238208. Its totient is φ = 5980815360.

The previous prime is 16845271031. The next prime is 16845271067. The reversal of 16845271040 is 4017254861.

It is a super-2 number, since 2×16845271040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16845270985 and 16845271003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107294642 + ... + 107294798.

Almost surely, 2^16845271040 is an apocalyptic number.

16845271040 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 16845271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22736119104).

16845271040 is an abundant number, since it is smaller than the sum of its proper divisors (28626967168).

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

16845271040 is a wasteful number, since it uses less digits than its factorization.

16845271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 16845271040 in words is "sixteen billion, eight hundred forty-five million, two hundred seventy-one thousand, forty".