214114909104 has 120 divisors (see below), whose sum is σ = 618477587520. Its totient is φ = 69114570624.

The previous prime is 214114909103. The next prime is 214114909121. The reversal of 214114909104 is 401909411412.

214114909104 is a `hidden beast` number, since 21 + 41 + 1 + 490 + 9 + 104 = 666.

It is a super-2 number, since 2×214114909104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214114909103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381159 + ... + 757305.

It is an arithmetic number, because the mean of its divisors is an integer number (5153979896).

Almost surely, 2^214114909104 is an apocalyptic number.

214114909104 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 214114909104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309238793760).

214114909104 is an abundant number, since it is smaller than the sum of its proper divisors (404362678416).

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

214114909104 is a wasteful number, since it uses less digits than its factorization.

214114909104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376287 (or 376278 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 214114909104 in words is "two hundred fourteen billion, one hundred fourteen million, nine hundred nine thousand, one hundred four".