16982946900 has 108 divisors (see below), whose sum is σ = 53484986464. Its totient is φ = 4507272000.

The previous prime is 16982946899. The next prime is 16982946901. The reversal of 16982946900 is 964928961.

It is an interprime number because it is at equal distance from previous prime (16982946899) and next prime (16982946901).

It is a super-2 number, since 2×16982946900² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16982946901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145185 + ... + 234615.

Almost surely, 2^16982946900 is an apocalyptic number.

16982946900 is a gapful number since it is divisible by the number (10) 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 16982946900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26742493232).

16982946900 is an abundant number, since it is smaller than the sum of its proper divisors (36502039564).

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

16982946900 is a wasteful number, since it uses less digits than its factorization.

16982946900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89662 (or 89652 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 16982946900 in words is "sixteen billion, nine hundred eighty-two million, nine hundred forty-six thousand, nine hundred".