16930173456 has 135 divisors (see below), whose sum is σ = 55152245421. Its totient is φ = 4834069632.

The previous prime is 16930173439. The next prime is 16930173467. The reversal of 16930173456 is 65437103961.

It is a happy number.

The square root of 16930173456 is 130116.

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

16930173456 is a `hidden beast` number, since 169 + 30 + 1 + 7 + 3 + 456 = 666.

16930173456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5728067856 + 11202105600 = 75684^2 + 105840^2 .

It is an unprimeable number.

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, 10928970 + ... + 10930518.

Almost surely, 2^16930173456 is an apocalyptic number.

16930173456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16930173456 is the 130116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16930173456

16930173456 is an abundant number, since it is smaller than the sum of its proper divisors (38222071965).

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

16930173456 is an equidigital number, since it uses as much as digits as its factorization.

16930173456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 16930173456 in words is "sixteen billion, nine hundred thirty million, one hundred seventy-three thousand, four hundred fifty-six".