16906225776 has 320 divisors, whose sum is σ = 50355634176. Its totient is φ = 4843238400.

The previous prime is 16906225769. The next prime is 16906225789. The reversal of 16906225776 is 67752260961.

16906225776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 133119825 + ... + 133119951.

Almost surely, 2^16906225776 is an apocalyptic number.

16906225776 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 16906225776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25177817088).

16906225776 is an abundant number, since it is smaller than the sum of its proper divisors (33449408400).

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

16906225776 is a wasteful number, since it uses less digits than its factorization.

16906225776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 16906225776 in words is "sixteen billion, nine hundred six million, two hundred twenty-five thousand, seven hundred seventy-six".