16693673616 has 225 divisors, whose sum is σ = 50174685099. Its totient is φ = 5358348288.

The previous prime is 16693673599. The next prime is 16693673681. The reversal of 16693673616 is 61637639661.

The square root of 16693673616 is 129204.

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

16693673616 is a `hidden beast` number, since 16 + 6 + 9 + 3 + 6 + 7 + 3 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2580233616 + 14113440000 = 50796^2 + 118800^2 .

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

Its product of digits (4408992) is a multiple of the sum of its prime factors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 172099680 + ... + 172099776.

Almost surely, 2^16693673616 is an apocalyptic number.

16693673616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16693673616 is the 129204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16693673616

16693673616 is an abundant number, since it is smaller than the sum of its proper divisors (33481011483).

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

16693673616 is an frugal number, since it uses more digits than its factorization.

16693673616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 139 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The spelling of 16693673616 in words is "sixteen billion, six hundred ninety-three million, six hundred seventy-three thousand, six hundred sixteen".