16916933520400 has 45 divisors (see below), whose sum is σ = 40643130414333. Its totient is φ = 6766740504000.

The previous prime is 16916933520379. The next prime is 16916933520401. The reversal of 16916933520400 is 402533961961.

The square root of 16916933520400 is 4113020.

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

It can be written as a sum of positive squares in only one way, i.e., 6090096067344 + 10826837453056 = 2467812^2 + 3290416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16916933520401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82157575 + ... + 82363225.

Almost surely, 2^{16916933520400} is an apocalyptic number.

16916933520400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16916933520400 is the 4113020-th square number.

It is an amenable number.

16916933520400 is an abundant number, since it is smaller than the sum of its proper divisors (23726196893933).

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

16916933520400 is an frugal number, since it uses more digits than its factorization.

16916933520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411320 (or 205658 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

Multiplying 16916933520400 by its sum of digits (49), we get a square (828929742499600 = 28791140²).

The spelling of 16916933520400 in words is "sixteen trillion, nine hundred sixteen billion, nine hundred thirty-three million, five hundred twenty thousand, four hundred".