214609408520 has 64 divisors (see below), whose sum is σ = 520884000000. Its totient is φ = 79107994368.

The previous prime is 214609408487. The next prime is 214609408543. The reversal of 214609408520 is 25804906412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33020 + ... + 655979.

It is an arithmetic number, because the mean of its divisors is an integer number (8138812500).

Almost surely, 2^214609408520 is an apocalyptic number.

214609408520 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 214609408520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260442000000).

214609408520 is an abundant number, since it is smaller than the sum of its proper divisors (306274591480).

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

214609408520 is a wasteful number, since it uses less digits than its factorization.

214609408520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689622 (or 689618 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 214609408520 in words is "two hundred fourteen billion, six hundred nine million, four hundred eight thousand, five hundred twenty".