214309080289200 has 720 divisors, whose sum is σ = 789069317376096. Its totient is φ = 49525751808000.

The previous prime is 214309080289189. The next prime is 214309080289219. The reversal of 214309080289200 is 2982080903412.

214309080289200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 214309080289200.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1382410092 + ... + 1382565108.

Almost surely, 2^{214309080289200} is an apocalyptic number.

214309080289200 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 214309080289200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394534658688048).

214309080289200 is an abundant number, since it is smaller than the sum of its proper divisors (574760237086896).

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

214309080289200 is a wasteful number, since it uses less digits than its factorization.

214309080289200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155482 (or 155458 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 214309080289200 in words is "two hundred fourteen trillion, three hundred nine billion, eighty million, two hundred eighty-nine thousand, two hundred".