16990621584768 has 192 divisors, whose sum is σ = 52847533327680. Its totient is φ = 5208591237120.

The previous prime is 16990621584659. The next prime is 16990621584793. The reversal of 16990621584768 is 86748512609961.

16990621584768 is a `hidden beast` number, since 1 + 6 + 9 + 90 + 62 + 1 + 5 + 8 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×16990621584768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16990621584696 and 16990621584705.

It is a congruent number.

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, 1965280 + ... + 6151712.

It is an arithmetic number, because the mean of its divisors is an integer number (275247569415).

Almost surely, 2^{16990621584768} is an apocalyptic number.

16990621584768 is a gapful number since it is divisible by the number (18) 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 16990621584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26423766663840).

16990621584768 is an abundant number, since it is smaller than the sum of its proper divisors (35856911742912).

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

16990621584768 is a wasteful number, since it uses less digits than its factorization.

16990621584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186737 (or 4186722 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 16990621584768 in words is "sixteen trillion, nine hundred ninety billion, six hundred twenty-one million, five hundred eighty-four thousand, seven hundred sixty-eight".