16382499100900 has 243 divisors, whose sum is σ = 39159026129587. Its totient is φ = 5947602483200.

The previous prime is 16382499100859. The next prime is 16382499100907. The reversal of 16382499100900 is 900199428361.

The square root of 16382499100900 is 4047530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 16328113129636 + 54385971264 = 4040806^2 + 233208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16382499100907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19954322490 + ... + 19954323310.

Almost surely, 2^{16382499100900} is an apocalyptic number.

16382499100900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16382499100900 is the 4047530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16382499100900

16382499100900 is an abundant number, since it is smaller than the sum of its proper divisors (22776527028687).

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

16382499100900 is an equidigital number, since it uses as much as digits as its factorization.

16382499100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The spelling of 16382499100900 in words is "sixteen trillion, three hundred eighty-two billion, four hundred ninety-nine million, one hundred thousand, nine hundred".