16456680576 has 480 divisors, whose sum is σ = 58987971900. Its totient is φ = 4535709696.

The previous prime is 16456680557. The next prime is 16456680607. The reversal of 16456680576 is 67508665461.

16456680576 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 6 + 68 + 0 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15247310400 + 1209370176 = 123480^2 + 34776^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14732370 + ... + 14733486.

Almost surely, 2^16456680576 is an apocalyptic number.

16456680576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16456680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29493985950).

16456680576 is an abundant number, since it is smaller than the sum of its proper divisors (42531291324).

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

16456680576 is a wasteful number, since it uses less digits than its factorization.

16456680576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 16456680576 in words is "sixteen billion, four hundred fifty-six million, six hundred eighty thousand, five hundred seventy-six".