16834922496 has 768 divisors, whose sum is σ = 62396006400. Its totient is φ = 4379443200.

The previous prime is 16834922449. The next prime is 16834922513. The reversal of 16834922496 is 69422943861.

16834922496 is a `hidden beast` number, since 1 + 68 + 3 + 4 + 92 + 2 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275982306 + ... + 275982366.

It is an arithmetic number, because the mean of its divisors is an integer number (81244800).

Almost surely, 2^16834922496 is an apocalyptic number.

16834922496 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 16834922496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31198003200).

16834922496 is an abundant number, since it is smaller than the sum of its proper divisors (45561083904).

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

16834922496 is a wasteful number, since it uses less digits than its factorization.

16834922496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

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

The spelling of 16834922496 in words is "sixteen billion, eight hundred thirty-four million, nine hundred twenty-two thousand, four hundred ninety-six".