16465533556461 has 64 divisors (see below), whose sum is σ = 24433470996480. Its totient is φ = 9779833976000.

The previous prime is 16465533556357. The next prime is 16465533556471.

16465533556461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16465533556461 - 2¹⁴ = 16465533540077 is a prime.

It is a super-2 number, since 2×16465533556461² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16465533556395 and 16465533556404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16465533556471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187766656 + ... + 187854326.

It is an arithmetic number, because the mean of its divisors is an integer number (381772984320).

Almost surely, 2^{16465533556461} is an apocalyptic number.

16465533556461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16465533556461 is a deficient number, since it is larger than the sum of its proper divisors (7967937440019).

16465533556461 is a wasteful number, since it uses less digits than its factorization.

16465533556461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88318.

The product of its digits is 116640000, while the sum is 60.

The spelling of 16465533556461 in words is "sixteen trillion, four hundred sixty-five billion, five hundred thirty-three million, five hundred fifty-six thousand, four hundred sixty-one".