16461205477657 has 8 divisors (see below), whose sum is σ = 16480450146560. Its totient is φ = 16441969420800.

The previous prime is 16461205477649. The next prime is 16461205477667. The reversal of 16461205477657 is 75677450216461.

16461205477657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 16461205477657 - 2³ = 16461205477649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16461205477595 and 16461205477604.

It is not an unprimeable number, because it can be changed into a prime (16461205477667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1676032 + ... + 5977582.

It is an arithmetic number, because the mean of its divisors is an integer number (2060056268320).

Almost surely, 2^{16461205477657} is an apocalyptic number.

It is an amenable number.

16461205477657 is a deficient number, since it is larger than the sum of its proper divisors (19244668903).

16461205477657 is a wasteful number, since it uses less digits than its factorization.

16461205477657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306023.

The product of its (nonzero) digits is 59270400, while the sum is 61.

The spelling of 16461205477657 in words is "sixteen trillion, four hundred sixty-one billion, two hundred five million, four hundred seventy-seven thousand, six hundred fifty-seven".