214514296992 has 216 divisors, whose sum is σ = 638382064320. Its totient is φ = 68315270400.

The previous prime is 214514296991. The next prime is 214514296999. The reversal of 214514296992 is 299692415412.

214514296992 is a `hidden beast` number, since 2 + 1 + 451 + 42 + 9 + 69 + 92 = 666.

214514296992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214514296992² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214514296991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21859767 + ... + 21869577.

It is an arithmetic number, because the mean of its divisors is an integer number (2955472520).

Almost surely, 2^214514296992 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 214514296992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319191032160).

214514296992 is an abundant number, since it is smaller than the sum of its proper divisors (423867767328).

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

214514296992 is a wasteful number, since it uses less digits than its factorization.

214514296992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968 (or 9926 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 214514296992 in words is "two hundred fourteen billion, five hundred fourteen million, two hundred ninety-six thousand, nine hundred ninety-two".