16416788761461 has 16 divisors (see below), whose sum is σ = 24524342918208. Its totient is φ = 9680661676800.

The previous prime is 16416788761397. The next prime is 16416788761517.

16416788761461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16416788761461 - 2⁶ = 16416788761397 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16416788761392 and 16416788761401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16416788761661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6722680500 + ... + 6722682941.

It is an arithmetic number, because the mean of its divisors is an integer number (1532771432388).

Almost surely, 2^{16416788761461} is an apocalyptic number.

16416788761461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16416788761461 is a deficient number, since it is larger than the sum of its proper divisors (8107554156747).

16416788761461 is a wasteful number, since it uses less digits than its factorization.

16416788761461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13445363492.

The product of its digits is 65028096, while the sum is 66.

The spelling of 16416788761461 in words is "sixteen trillion, four hundred sixteen billion, seven hundred eighty-eight million, seven hundred sixty-one thousand, four hundred sixty-one".