16781129764 has 81 divisors (see below), whose sum is σ = 36128379483. Its totient is φ = 6799400496.

The previous prime is 16781129759. The next prime is 16781129767. The reversal of 16781129764 is 46792118761.

It is a happy number.

The square root of 16781129764 is 129542.

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

16781129764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16781129767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34457929 + ... + 34458415.

Almost surely, 2^16781129764 is an apocalyptic number.

16781129764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16781129764 is the 129542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16781129764

16781129764 is an abundant number, since it is smaller than the sum of its proper divisors (19347249719).

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

16781129764 is an equidigital number, since it uses as much as digits as its factorization.

16781129764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 515 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 52.

The spelling of 16781129764 in words is "sixteen billion, seven hundred eighty-one million, one hundred twenty-nine thousand, seven hundred sixty-four".