16982425152 has 336 divisors, whose sum is σ = 60892895232. Its totient is φ = 4396170240.

The previous prime is 16982425151. The next prime is 16982425157. The reversal of 16982425152 is 25152428961.

16982425152 is a `hidden beast` number, since 1 + 6 + 98 + 2 + 42 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×16982425152³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16982425098 and 16982425107.

It is not an unprimeable number, because it can be changed into a prime (16982425151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20534563 + ... + 20535389.

Almost surely, 2^16982425152 is an apocalyptic number.

16982425152 is a gapful number since it is divisible by the number (12) 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 16982425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30446447616).

16982425152 is an abundant number, since it is smaller than the sum of its proper divisors (43910470080).

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

16982425152 is a wasteful number, since it uses less digits than its factorization.

16982425152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1313 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 16982425152 in words is "sixteen billion, nine hundred eighty-two million, four hundred twenty-five thousand, one hundred fifty-two".