16840464256 has 384 divisors, whose sum is σ = 46465488000. Its totient is φ = 5988003840.

The previous prime is 16840464217. The next prime is 16840464257. The reversal of 16840464256 is 65246404861.

16840464256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16840464256² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16840464257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38014371 + ... + 38014813.

It is an arithmetic number, because the mean of its divisors is an integer number (121003875).

Almost surely, 2^16840464256 is an apocalyptic number.

16840464256 is a gapful number since it is divisible by the number (16) 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 16840464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23232744000).

16840464256 is an abundant number, since it is smaller than the sum of its proper divisors (29625023744).

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

16840464256 is a wasteful number, since it uses less digits than its factorization.

16840464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 16840464256 in words is "sixteen billion, eight hundred forty million, four hundred sixty-four thousand, two hundred fifty-six".