214311414300 has 72 divisors (see below), whose sum is σ = 620560281600. Its totient is φ = 57104925120.

The previous prime is 214311414263. The next prime is 214311414313. The reversal of 214311414300 is 3414113412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104431 + ... + 662969.

It is an arithmetic number, because the mean of its divisors is an integer number (8618892800).

Almost surely, 2^214311414300 is an apocalyptic number.

214311414300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214311414300 is an abundant number, since it is smaller than the sum of its proper divisors (406248867300).

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

214311414300 is a wasteful number, since it uses less digits than its factorization.

214311414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559835 (or 559828 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 214311414300 its reverse (3414113412), we get a palindrome (217725527712).

The spelling of 214311414300 in words is "two hundred fourteen billion, three hundred eleven million, four hundred fourteen thousand, three hundred".