16934663808 has 192 divisors, whose sum is σ = 49626213000. Its totient is φ = 5541986304.

The previous prime is 16934663803. The next prime is 16934663831. The reversal of 16934663808 is 80836643961.

16934663808 is a `hidden beast` number, since 16 + 93 + 466 + 3 + 80 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16715386944 + 219276864 = 129288^2 + 14808^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (16934663803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29349216 + ... + 29349792.

Almost surely, 2^16934663808 is an apocalyptic number.

16934663808 is a gapful number since it is divisible by the number (18) 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 16934663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24813106500).

16934663808 is an abundant number, since it is smaller than the sum of its proper divisors (32691549192).

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

16934663808 is a wasteful number, since it uses less digits than its factorization.

16934663808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 16934663808 in words is "sixteen billion, nine hundred thirty-four million, six hundred sixty-three thousand, eight hundred eight".