14158382121 has 81 divisors (see below), whose sum is σ = 23201033349. Its totient is φ = 8635745664.

The previous prime is 14158382099. The next prime is 14158382123. The reversal of 14158382121 is 12128385141.

It is a happy number.

The square root of 14158382121 is 118989.

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

14158382121 is a `hidden beast` number, since 1 + 4 + 158 + 382 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10565578521 + 3592803600 = 102789^2 + 59940^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 14158382121 - 2²¹ = 14156284969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14158382123) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 125295361 + ... + 125295473.

Almost surely, 2^14158382121 is an apocalyptic number.

14158382121 is the 118989-th square number.

14158382121 is the 59495-th centered octagonal number.

It is an amenable number.

14158382121 is a deficient number, since it is larger than the sum of its proper divisors (9042651228).

14158382121 is an frugal number, since it uses more digits than its factorization.

14158382121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 129 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

Multiplying 14158382121 by its sum of digits (36), we get a square (509701756356 = 713934²).

The spelling of 14158382121 in words is "fourteen billion, one hundred fifty-eight million, three hundred eighty-two thousand, one hundred twenty-one".