16684142596000 has 144 divisors (see below), whose sum is σ = 45058355039880. Its totient is φ = 6066960768000.

The previous prime is 16684142595983. The next prime is 16684142596081. The reversal of 16684142596000 is 69524148661.

It can be written as a sum of positive squares in 4 ways, for example, as 10292367581584 + 6391775014416 = 3208172^2 + 2528196^2 .

It is a super-2 number, since 2×16684142596000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16751685 + ... + 17719684.

Almost surely, 2^{16684142596000} is an apocalyptic number.

16684142596000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16684142596000 is an abundant number, since it is smaller than the sum of its proper divisors (28374212443880).

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

16684142596000 is a wasteful number, since it uses less digits than its factorization.

16684142596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34471416 (or 34471387 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 16684142596000 in words is "sixteen trillion, six hundred eighty-four billion, one hundred forty-two million, five hundred ninety-six thousand".