214814088020 has 192 divisors, whose sum is σ = 535719744000. Its totient is φ = 72309888000.

The previous prime is 214814088007. The next prime is 214814088023. The reversal of 214814088020 is 20880418412.

214814088020 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 2×214814088020² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214814088023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125694926 + ... + 125696634.

It is an arithmetic number, because the mean of its divisors is an integer number (2790207000).

Almost surely, 2^214814088020 is an apocalyptic number.

214814088020 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 214814088020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267859872000).

214814088020 is an abundant number, since it is smaller than the sum of its proper divisors (320905655980).

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

214814088020 is a wasteful number, since it uses less digits than its factorization.

214814088020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 38.

The spelling of 214814088020 in words is "two hundred fourteen billion, eight hundred fourteen million, eighty-eight thousand, twenty".