214251414129 has 9 divisors (see below), whose sum is σ = 309476270649. Its totient is φ = 142833350340.

The previous prime is 214251414107. The next prime is 214251414187. The reversal of 214251414129 is 921414152412.

The square root of 214251414129 is 462873.

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

214251414129 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 514 + 14 + 129 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-214251414129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214251414093 and 214251414102.

It is not an unprimeable number, because it can be changed into a prime (214251410129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1311474 + ... + 1465764.

Almost surely, 2^214251414129 is an apocalyptic number.

214251414129 is the 462873-rd square number.

214251414129 is the 231437-th centered octagonal number.

It is an amenable number.

214251414129 is a deficient number, since it is larger than the sum of its proper divisors (95224856520).

214251414129 is an frugal number, since it uses more digits than its factorization.

214251414129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308588 (or 154294 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

Multiplying 214251414129 by its sum of digits (36), we get a square (7713050908644 = 2777238²).

The spelling of 214251414129 in words is "two hundred fourteen billion, two hundred fifty-one million, four hundred fourteen thousand, one hundred twenty-nine".