16966403856 has 240 divisors, whose sum is σ = 52102290240. Its totient is φ = 5329981440.

The previous prime is 16966403849. The next prime is 16966403863. The reversal of 16966403856 is 65830466961.

16966403856 is a `hidden beast` number, since 169 + 66 + 40 + 385 + 6 = 666.

16966403856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16966403849) and next prime (16966403863).

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

It is an unprimeable number.

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, 17802676 + ... + 17803628.

It is an arithmetic number, because the mean of its divisors is an integer number (217092876).

Almost surely, 2^16966403856 is an apocalyptic number.

16966403856 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 16966403856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26051145120).

16966403856 is an abundant number, since it is smaller than the sum of its proper divisors (35135886384).

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

16966403856 is a wasteful number, since it uses less digits than its factorization.

16966403856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 16966403856 in words is "sixteen billion, nine hundred sixty-six million, four hundred three thousand, eight hundred fifty-six".