214092449136 has 100 divisors (see below), whose sum is σ = 619992407232. Its totient is φ = 71324216064.

The previous prime is 214092449117. The next prime is 214092449149. The reversal of 214092449136 is 631944290412.

214092449136 is a `hidden beast` number, since 2 + 1 + 40 + 92 + 4 + 491 + 36 = 666.

214092449136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214092449091 and 214092449100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2317300 + ... + 2407916.

Almost surely, 2^214092449136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214092449136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309996203616).

214092449136 is an abundant number, since it is smaller than the sum of its proper divisors (405899958096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214092449136 is a wasteful number, since it uses less digits than its factorization.

214092449136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92460 (or 92445 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 214092449136 in words is "two hundred fourteen billion, ninety-two million, four hundred forty-nine thousand, one hundred thirty-six".