16414533541461 has 64 divisors (see below), whose sum is σ = 24498653389056. Its totient is φ = 9689452953600.

The previous prime is 16414533541421. The next prime is 16414533541463.

It is a happy number.

16414533541461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16414533541461 - 2⁶ = 16414533541397 is a prime.

It is a super-3 number, since 3×16414533541461³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 16414533541461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16414533541463) 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, 2623384045 + ... + 2623390301.

It is an arithmetic number, because the mean of its divisors is an integer number (382791459204).

Almost surely, 2^{16414533541461} is an apocalyptic number.

16414533541461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16414533541461 is a deficient number, since it is larger than the sum of its proper divisors (8084119847595).

16414533541461 is a wasteful number, since it uses less digits than its factorization.

16414533541461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222.

The product of its digits is 2073600, while the sum is 48.

The spelling of 16414533541461 in words is "sixteen trillion, four hundred fourteen billion, five hundred thirty-three million, five hundred forty-one thousand, four hundred sixty-one".