16565667456 has 128 divisors (see below), whose sum is σ = 48095611200. Its totient is φ = 5020950528.

The previous prime is 16565667431. The next prime is 16565667473. The reversal of 16565667456 is 65476656561.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 16565667396 and 16565667405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309700 + ... + 359228.

Almost surely, 2^16565667456 is an apocalyptic number.

16565667456 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 16565667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24047805600).

16565667456 is an abundant number, since it is smaller than the sum of its proper divisors (31529943744).

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

16565667456 is a wasteful number, since it uses less digits than its factorization.

16565667456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49626 (or 49614 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 57.

The spelling of 16565667456 in words is "sixteen billion, five hundred sixty-five million, six hundred sixty-seven thousand, four hundred fifty-six".