16477829956 has 81 divisors (see below), whose sum is σ = 34387770711. Its totient is φ = 6888633024.

The previous prime is 16477829939. The next prime is 16477829981. The reversal of 16477829956 is 65992877461.

The square root of 16477829956 is 128366.

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 6983276356 + 9494553600 = 83566^2 + 97440^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 95247486 + ... + 95247658.

Almost surely, 2^16477829956 is an apocalyptic number.

16477829956 is the 128366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16477829956

16477829956 is an abundant number, since it is smaller than the sum of its proper divisors (17909940755).

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

16477829956 is an equidigital number, since it uses as much as digits as its factorization.

16477829956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 235 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 64.

Multiplying 16477829956 by its sum of digits (64), we get a square (1054581117184 = 1026928²).

The spelling of 16477829956 in words is "sixteen billion, four hundred seventy-seven million, eight hundred twenty-nine thousand, nine hundred fifty-six".