214154413300 has 72 divisors (see below), whose sum is σ = 474521800536. Its totient is φ = 83871221760.

The previous prime is 214154413279. The next prime is 214154413301. The reversal of 214154413300 is 3314451412.

It can be written as a sum of positive squares in 12 ways, for example, as 27229620196 + 186924793104 = 165014^2 + 432348^2 .

It is a super-2 number, since 2×214154413300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214154413301) 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, 893034 + ... + 1107166.

It is an arithmetic number, because the mean of its divisors is an integer number (6590580563).

Almost surely, 2^214154413300 is an apocalyptic number.

214154413300 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 214154413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237260900268).

214154413300 is an abundant number, since it is smaller than the sum of its proper divisors (260367387236).

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

214154413300 is a wasteful number, since it uses less digits than its factorization.

214154413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214357 (or 214350 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 214154413300 its reverse (3314451412), we get a palindrome (217468864712).

The spelling of 214154413300 in words is "two hundred fourteen billion, one hundred fifty-four million, four hundred thirteen thousand, three hundred".