214808651881824 has 1536 divisors, whose sum is σ = 849494532096000. Its totient is φ = 45612617564160.

The previous prime is 214808651881801. The next prime is 214808651881867. The reversal of 214808651881824 is 428188156808412.

It is a super-2 number, since 2×214808651881824² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 255 ways as a sum of consecutive naturals, for example, 4624788969 + ... + 4624835415.

It is an arithmetic number, because the mean of its divisors is an integer number (553056336000).

Almost surely, 2^{214808651881824} is an apocalyptic number.

214808651881824 is a gapful number since it is divisible by the number (24) 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 214808651881824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424747266048000).

214808651881824 is an abundant number, since it is smaller than the sum of its proper divisors (634685880214176).

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

214808651881824 is a wasteful number, since it uses less digits than its factorization.

214808651881824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46676 (or 46668 counting only the distinct ones).

The product of its (nonzero) digits is 62914560, while the sum is 66.

The spelling of 214808651881824 in words is "two hundred fourteen trillion, eight hundred eight billion, six hundred fifty-one million, eight hundred eighty-one thousand, eight hundred twenty-four".