16653766735661 has 32 divisors (see below), whose sum is σ = 19337848312320. Its totient is φ = 14182888968000.

The previous prime is 16653766735643. The next prime is 16653766735729.

16653766735661 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 16653766735661 - 2³⁸ = 16378888828717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16653766735591 and 16653766735600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16653766732661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16111550 + ... + 17114016.

It is an arithmetic number, because the mean of its divisors is an integer number (604307759760).

Almost surely, 2^{16653766735661} is an apocalyptic number.

16653766735661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16653766735661 is a deficient number, since it is larger than the sum of its proper divisors (2684081576659).

16653766735661 is a wasteful number, since it uses less digits than its factorization.

16653766735661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003385.

The product of its digits is 514382400, while the sum is 68.

The spelling of 16653766735661 in words is "sixteen trillion, six hundred fifty-three billion, seven hundred sixty-six million, seven hundred thirty-five thousand, six hundred sixty-one".