16924090932100 has 243 divisors, whose sum is σ = 40802752562383. Its totient is φ = 6088557200000.

The previous prime is 16924090932083. The next prime is 16924090932103. The reversal of 16924090932100 is 123909042961.

The square root of 16924090932100 is 4113890.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5051049482116 + 11873041449984 = 2247454^2 + 3445728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16924090932103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 67426656975 + ... + 67426657225.

Almost surely, 2^{16924090932100} is an apocalyptic number.

16924090932100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16924090932100 is the 4113890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16924090932100

16924090932100 is an abundant number, since it is smaller than the sum of its proper divisors (23878661630283).

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

16924090932100 is a wasteful number, since it uses less digits than its factorization.

16924090932100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The spelling of 16924090932100 in words is "sixteen trillion, nine hundred twenty-four billion, ninety million, nine hundred thirty-two thousand, one hundred".