214520025412 has 72 divisors (see below), whose sum is σ = 471735942272. Its totient is φ = 83553275520.

The previous prime is 214520025409. The next prime is 214520025413.

It is a happy number.

214520025412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (214520025413) 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, 13737313 + ... + 13752919.

Almost surely, 2^214520025412 is an apocalyptic number.

214520025412 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 214520025412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235867971136).

214520025412 is an abundant number, since it is smaller than the sum of its proper divisors (257215916860).

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

214520025412 is a wasteful number, since it uses less digits than its factorization.

214520025412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19697 (or 19684 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 214520025412 in words is "two hundred fourteen billion, five hundred twenty million, twenty-five thousand, four hundred twelve".