214162610200 has 384 divisors, whose sum is σ = 658931397120. Its totient is φ = 62670643200.

The previous prime is 214162610107. The next prime is 214162610209. The reversal of 214162610200 is 2016261412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214162610209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147392674 + ... + 147394126.

It is an arithmetic number, because the mean of its divisors is an integer number (1715967180).

Almost surely, 2^214162610200 is an apocalyptic number.

214162610200 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 214162610200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329465698560).

214162610200 is an abundant number, since it is smaller than the sum of its proper divisors (444768786920).

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

214162610200 is a wasteful number, since it uses less digits than its factorization.

214162610200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 214162610200 its reverse (2016261412), we get a palindrome (216178871612).

The spelling of 214162610200 in words is "two hundred fourteen billion, one hundred sixty-two million, six hundred ten thousand, two hundred".