214571311326460 has 96 divisors (see below), whose sum is σ = 496352578176000. Its totient is φ = 77265790410240.

The previous prime is 214571311326371. The next prime is 214571311326473. The reversal of 214571311326460 is 64623113175412.

It is a happy number.

214571311326460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214571311326460² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214571311326460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 748747081 + ... + 749033599.

It is an arithmetic number, because the mean of its divisors is an integer number (5170339356000).

Almost surely, 2^{214571311326460} is an apocalyptic number.

214571311326460 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 214571311326460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248176289088000).

214571311326460 is an abundant number, since it is smaller than the sum of its proper divisors (281781266849540).

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

214571311326460 is a wasteful number, since it uses less digits than its factorization.

214571311326460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319691 (or 319689 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 214571311326460 in words is "two hundred fourteen trillion, five hundred seventy-one billion, three hundred eleven million, three hundred twenty-six thousand, four hundred sixty".