214799186048841 has 27 divisors (see below), whose sum is σ = 310893149762247. Its totient is φ = 142910352537840.

The previous prime is 214799186048833. The next prime is 214799186048879. The reversal of 214799186048841 is 148840681997412.

The square root of 214799186048841 is 14656029.

It is a perfect power (a square), and thus also a powerful number.

214799186048841 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 9 + 9 + 1 + 8 + 604 + 8 + 8 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64256592672441 + 150542593376400 = 8016021^2 + 12269580^2 .

It is not a de Polignac number, because 214799186048841 - 2³ = 214799186048833 is a prime.

It is a super-2 number, since 2×214799186048841² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214799186048841.

It is not an unprimeable number, because it can be changed into a prime (214799186048801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22995304831 + ... + 22995314171.

Almost surely, 2^{214799186048841} is an apocalyptic number.

214799186048841 is the 14656029-th square number.

214799186048841 is the 7328015-th centered octagonal number.

It is an amenable number.

214799186048841 is a deficient number, since it is larger than the sum of its proper divisors (96093963713406).

214799186048841 is an frugal number, since it uses more digits than its factorization.

214799186048841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19734 (or 9867 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 214799186048841 in words is "two hundred fourteen trillion, seven hundred ninety-nine billion, one hundred eighty-six million, forty-eight thousand, eight hundred forty-one".