214808821004880 has 80 divisors (see below), whose sum is σ = 739897050135360. Its totient is φ = 57282352267392.

The previous prime is 214808821004873. The next prime is 214808821004963. The reversal of 214808821004880 is 88400128808412.

It is a happy number.

214808821004880 is a `hidden beast` number, since 2 + 1 + 4 + 80 + 8 + 82 + 1 + 0 + 0 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×214808821004880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 49724261962 + ... + 49724266281.

It is an arithmetic number, because the mean of its divisors is an integer number (9248713126692).

Almost surely, 2^{214808821004880} is an apocalyptic number.

214808821004880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214808821004880 is an abundant number, since it is smaller than the sum of its proper divisors (525088229130480).

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

214808821004880 is a wasteful number, since it uses less digits than its factorization.

214808821004880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99448528265 (or 99448528253 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 54.

The spelling of 214808821004880 in words is "two hundred fourteen trillion, eight hundred eight billion, eight hundred twenty-one million, four thousand, eight hundred eighty".