82114914249 has 27 divisors (see below), whose sum is σ = 124021486407. Its totient is φ = 52350525216.

The previous prime is 82114914239. The next prime is 82114914283. The reversal of 82114914249 is 94241941128.

The square root of 82114914249 is 286557.

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

82114914249 is a `hidden beast` number, since 8 + 211 + 4 + 9 + 1 + 424 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 985646025 + 81129268224 = 31395^2 + 284832^2 .

It is not a de Polignac number, because 82114914249 - 2⁷ = 82114914121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82114914209) 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, 19770357 + ... + 19774509.

Almost surely, 2^82114914249 is an apocalyptic number.

82114914249 is the 286557-th square number.

82114914249 is the 143279-th centered octagonal number.

It is an amenable number.

82114914249 is a deficient number, since it is larger than the sum of its proper divisors (41906572158).

82114914249 is an frugal number, since it uses more digits than its factorization.

82114914249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8358 (or 4179 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 82114914249 in words is "eighty-two billion, one hundred fourteen million, nine hundred fourteen thousand, two hundred forty-nine".