16214041261 has 72 divisors (see below), whose sum is σ = 19920301632. Its totient is φ = 13169587200.

The previous prime is 16214041253. The next prime is 16214041301.

16214041261 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16214041261 - 2³ = 16214041253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16214041231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61650216 + ... + 61650478.

It is an arithmetic number, because the mean of its divisors is an integer number (276670856).

Almost surely, 2^16214041261 is an apocalyptic number.

16214041261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16214041261 is a deficient number, since it is larger than the sum of its proper divisors (3706260371).

16214041261 is a wasteful number, since it uses less digits than its factorization.

16214041261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 162140 and 41261, that added together give a square (203401 = 451²).

The spelling of 16214041261 in words is "sixteen billion, two hundred fourteen million, forty-one thousand, two hundred sixty-one".