16746686550 has 384 divisors, whose sum is σ = 53535859200. Its totient is φ = 3810240000.

The previous prime is 16746686543. The next prime is 16746686557. The reversal of 16746686550 is 5568664761.

16746686550 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 6 + 6 + 86 + 550 = 666.

16746686550 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 (16746686543) and next prime (16746686557).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16746686557) 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 191 ways as a sum of consecutive naturals, for example, 15933525 + ... + 15934575.

It is an arithmetic number, because the mean of its divisors is an integer number (139416300).

Almost surely, 2^16746686550 is an apocalyptic number.

16746686550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16746686550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26767929600).

16746686550 is an abundant number, since it is smaller than the sum of its proper divisors (36789172650).

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

16746686550 is a wasteful number, since it uses less digits than its factorization.

16746686550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

It can be divided in two parts, 167466 and 86550, that added together give a square (254016 = 504²).

The spelling of 16746686550 in words is "sixteen billion, seven hundred forty-six million, six hundred eighty-six thousand, five hundred fifty".