34166000016 has 80 divisors (see below), whose sum is σ = 98284235200. Its totient is φ = 11363680512.

The previous prime is 34165999939. The next prime is 34166000017. The reversal of 34166000016 is 61000066143.

34166000016 is a `hidden beast` number, since 3 + 41 + 6 + 600 + 0 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34166000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110895 + ... + 283953.

It is an arithmetic number, because the mean of its divisors is an integer number (1228552940).

Almost surely, 2^34166000016 is an apocalyptic number.

34166000016 is a gapful number since it is divisible by the number (36) 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 34166000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49142117600).

34166000016 is an abundant number, since it is smaller than the sum of its proper divisors (64118235184).

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

34166000016 is a wasteful number, since it uses less digits than its factorization.

34166000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173533 (or 173521 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 34166000016 its reverse (61000066143), we get a palindrome (95166066159).

The spelling of 34166000016 in words is "thirty-four billion, one hundred sixty-six million, sixteen", and thus it is an aban number.