214415561261 has 32 divisors (see below), whose sum is σ = 248502594816. Its totient is φ = 183078720000.

The previous prime is 214415561221. The next prime is 214415561263. The reversal of 214415561261 is 162165514412.

214415561261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214415561261 - 2¹⁰ = 214415560237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214415561263) 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 31 ways as a sum of consecutive naturals, for example, 9263675 + ... + 9286791.

It is an arithmetic number, because the mean of its divisors is an integer number (7765706088).

Almost surely, 2^214415561261 is an apocalyptic number.

It is an amenable number.

214415561261 is a deficient number, since it is larger than the sum of its proper divisors (34087033555).

214415561261 is a wasteful number, since it uses less digits than its factorization.

214415561261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23813.

The product of its digits is 57600, while the sum is 38.

The spelling of 214415561261 in words is "two hundred fourteen billion, four hundred fifteen million, five hundred sixty-one thousand, two hundred sixty-one".