214849071817520 has 160 divisors (see below), whose sum is σ = 589331503988736. Its totient is φ = 71282554675200.

The previous prime is 214849071817511. The next prime is 214849071817553. The reversal of 214849071817520 is 25718170948412.

It is a self number, because there is not a number n which added to its sum of digits gives 214849071817520.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 337698752 + ... + 338334368.

Almost surely, 2^{214849071817520} is an apocalyptic number.

214849071817520 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 214849071817520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294665751994368).

214849071817520 is an abundant number, since it is smaller than the sum of its proper divisors (374482432171216).

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

214849071817520 is a wasteful number, since it uses less digits than its factorization.

214849071817520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655139 (or 655133 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 59.

The spelling of 214849071817520 in words is "two hundred fourteen trillion, eight hundred forty-nine billion, seventy-one million, eight hundred seventeen thousand, five hundred twenty".