16906173856 has 192 divisors, whose sum is σ = 41354651520. Its totient is φ = 6688604160.

The previous prime is 16906173853. The next prime is 16906173881. The reversal of 16906173856 is 65837160961.

It is a happy number.

It is a super-3 number, since 3×16906173856³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (16906173853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29299840 + ... + 29300416.

It is an arithmetic number, because the mean of its divisors is an integer number (215388810).

Almost surely, 2^16906173856 is an apocalyptic number.

16906173856 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 16906173856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20677325760).

16906173856 is an abundant number, since it is smaller than the sum of its proper divisors (24448477664).

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

16906173856 is a wasteful number, since it uses less digits than its factorization.

16906173856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 16906173856 in words is "sixteen billion, nine hundred six million, one hundred seventy-three thousand, eight hundred fifty-six".