214620411852 has 288 divisors, whose sum is σ = 704002510848. Its totient is φ = 53944704000.

The previous prime is 214620411833. The next prime is 214620411871. The reversal of 214620411852 is 258114026412.

214620411852 is a `hidden beast` number, since 2 + 14 + 620 + 4 + 1 + 18 + 5 + 2 = 666.

214620411852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214620411833) and next prime (214620411871).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 10387452 + ... + 10408092.

Almost surely, 2^214620411852 is an apocalyptic number.

214620411852 is a gapful number since it is divisible by the number (22) 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 214620411852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352001255424).

214620411852 is an abundant number, since it is smaller than the sum of its proper divisors (489382098996).

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

214620411852 is a wasteful number, since it uses less digits than its factorization.

214620411852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20722 (or 20695 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 214620411852 in words is "two hundred fourteen billion, six hundred twenty million, four hundred eleven thousand, eight hundred fifty-two".