16690689259776 has 945 divisors, whose sum is σ = 58576687505889. Its totient is φ = 4744059715584.

The previous prime is 16690689259703. The next prime is 16690689259781. The reversal of 16690689259776 is 67795298609661.

The square root of 16690689259776 is 4085424.

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

16690689259776 is a `hidden beast` number, since 16 + 6 + 9 + 0 + 6 + 8 + 9 + 2 + 597 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4043960121600 + 12646729138176 = 2010960^2 + 3556224^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 16690689259695 and 16690689259704.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 86480255136 + ... + 86480255328.

Almost surely, 2^{16690689259776} is an apocalyptic number.

16690689259776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16690689259776 is the 4085424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16690689259776

16690689259776 is an abundant number, since it is smaller than the sum of its proper divisors (41885998246113).

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

16690689259776 is an frugal number, since it uses more digits than its factorization.

16690689259776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

16690689259776 divided by its sum of digits (81) gives a square (206057892096 = 453936²).

The spelling of 16690689259776 in words is "sixteen trillion, six hundred ninety billion, six hundred eighty-nine million, two hundred fifty-nine thousand, seven hundred seventy-six".