214153364120 has 64 divisors (see below), whose sum is σ = 495942955200. Its totient is φ = 83165114880.

The previous prime is 214153364093. The next prime is 214153364137. The reversal of 214153364120 is 21463351412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525341 + ... + 839219.

It is an arithmetic number, because the mean of its divisors is an integer number (7749108675).

Almost surely, 2^214153364120 is an apocalyptic number.

214153364120 is a gapful number since it is divisible by the number (20) 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 214153364120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247971477600).

214153364120 is an abundant number, since it is smaller than the sum of its proper divisors (281789591080).

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

214153364120 is a wasteful number, since it uses less digits than its factorization.

214153364120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314388 (or 314384 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 214153364120 in words is "two hundred fourteen billion, one hundred fifty-three million, three hundred sixty-four thousand, one hundred twenty".