214527725412 has 384 divisors, whose sum is σ = 684902400000. Its totient is φ = 50463129600.

The previous prime is 214527725411. The next prime is 214527725441.

214527725412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (214527725411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171758964 + ... + 171760212.

It is an arithmetic number, because the mean of its divisors is an integer number (1783600000).

Almost surely, 2^214527725412 is an apocalyptic number.

214527725412 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 214527725412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342451200000).

214527725412 is an abundant number, since it is smaller than the sum of its proper divisors (470374674588).

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

214527725412 is a wasteful number, since it uses less digits than its factorization.

214527725412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1545 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

It can be divided in two parts, 214527 and 725412, that added together give a palindrome (939939).

The spelling of 214527725412 in words is "two hundred fourteen billion, five hundred twenty-seven million, seven hundred twenty-five thousand, four hundred twelve".