214048512 has 108 divisors (see below), whose sum is σ = 627683784. Its totient is φ = 70133760.

The previous prime is 214048501. The next prime is 214048517. The reversal of 214048512 is 215840412.

214048512 is a `hidden beast` number, since 2 + 140 + 4 + 8 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214048517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139783 + ... + 141305.

Almost surely, 2^214048512 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 214048512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313841892).

214048512 is an abundant number, since it is smaller than the sum of its proper divisors (413635272).

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

214048512 is a wasteful number, since it uses less digits than its factorization.

214048512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 214048512 is about 14630.3968503934. The cubic root of 214048512 is about 598.1875975077.

Adding to 214048512 its reverse (215840412), we get a palindrome (429888924).

The spelling of 214048512 in words is "two hundred fourteen million, forty-eight thousand, five hundred twelve".