214817728149 has 6 divisors (see below), whose sum is σ = 310292274006. Its totient is φ = 143211818760.

The previous prime is 214817728127. The next prime is 214817728157. The reversal of 214817728149 is 941827718412.

214817728149 is a `hidden beast` number, since 214 + 81 + 77 + 281 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126017900100 + 88799828049 = 354990^2 + 297993^2 .

It is not a de Polignac number, because 214817728149 - 2⁸ = 214817727893 is a prime.

It is a super-3 number, since 3×214817728149³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 214817728095 and 214817728104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214817728159) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11934318222 + ... + 11934318239.

It is an arithmetic number, because the mean of its divisors is an integer number (51715379001).

Almost surely, 2^214817728149 is an apocalyptic number.

It is an amenable number.

214817728149 is a deficient number, since it is larger than the sum of its proper divisors (95474545857).

214817728149 is a wasteful number, since it uses less digits than its factorization.

214817728149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23868636467 (or 23868636464 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The spelling of 214817728149 in words is "two hundred fourteen billion, eight hundred seventeen million, seven hundred twenty-eight thousand, one hundred forty-nine".