214476674412 has 432 divisors, whose sum is σ = 706402674432. Its totient is φ = 50023733760.

The previous prime is 214476674383. The next prime is 214476674417.

214476674412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1806336) is a multiple of the sum of its prime divisors (5376).

It is not an unprimeable number, because it can be changed into a prime (214476674417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40441753 + ... + 40447055.

It is an arithmetic number, because the mean of its divisors is an integer number (1635191376).

Almost surely, 2^214476674412 is an apocalyptic number.

214476674412 is a gapful number since it is divisible by the number (22) 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 214476674412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353201337216).

214476674412 is an abundant number, since it is smaller than the sum of its proper divisors (491926000020).

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

214476674412 is a wasteful number, since it uses less digits than its factorization.

214476674412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 5376 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 48.

It can be divided in two parts, 214476 and 674412, that added together give a palindrome (888888).

The spelling of 214476674412 in words is "two hundred fourteen billion, four hundred seventy-six million, six hundred seventy-four thousand, four hundred twelve".