214889412864 has 288 divisors, whose sum is σ = 675898015744. Its totient is φ = 59311595520.

The previous prime is 214889412847. The next prime is 214889412877. The reversal of 214889412864 is 468214988412.

It is a happy number.

It is a super-2 number, since 2×214889412864² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177154722 + ... + 177155934.

Almost surely, 2^214889412864 is an apocalyptic number.

214889412864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214889412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337949007872).

214889412864 is an abundant number, since it is smaller than the sum of its proper divisors (461008602880).

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

214889412864 is a wasteful number, since it uses less digits than its factorization.

214889412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2319 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 57.

The spelling of 214889412864 in words is "two hundred fourteen billion, eight hundred eighty-nine million, four hundred twelve thousand, eight hundred sixty-four".